Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week. ?x ?(?)P(x) 0 0.14844 1 0.15625 2 0.23756 3 0.16222 4 0.16512 5 0.13041 The expected number of days the sitcom will be filmed in one week, ?μ, is 2.43056. Use the formula below to calculate the variance, ?2,σ2, of the number days the sitcom films, ?,x, where ?(?)P(x) is the probability of the sitcom filming for a particular number of days. ?2=∑[(?−?)2⋅?(?)]σ2=∑[(x−μ)2⋅P(x)]   Provide each answer with three decimal places of precision. What is the weighted probability of two days of filming? What is the weighted probability of three days of filming? What is the weighted probability of four days of filming? What is the weighted probability of five days of filming? What is the weighted probability of zero days of filming? What is the weighted probability of one day of filming? What is the variance? (?5−?)2⋅?(?5)=(x5−μ)2⋅P(x5)=     ?2=σ2=

Question

Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week.

?x ?(?)P(x)
0 0.14844
1 0.15625
2 0.23756
3 0.16222
4 0.16512
5 0.13041

The expected number of days the sitcom will be filmed in one week, ?μ, is 2.43056. Use the formula below to calculate the variance, ?2,σ2, of the number days the sitcom films, ?,x, where ?(?)P(x) is the probability of the sitcom filming for a particular number of days.

?2=∑[(?−?)2⋅?(?)]σ2=∑[(x−μ)2⋅P(x)]

 

Provide each answer with three decimal places of precision.

What is the weighted probability of two days of filming?
What is the weighted probability of three days of filming?
What is the weighted probability of four days of filming?
What is the weighted probability of five days of filming?
What is the weighted probability of zero days of filming?
What is the weighted probability of one day of filming?
What is the variance?
(?5−?)2⋅?(?5)=(x5−μ)2⋅P(x5)=
 
 
?2=σ2=
 
 
(?3−?)2⋅?(?3)=(x3−μ)2⋅P(x3)=
 
 
(?0−?)2⋅?(?0)=(x0−μ)2⋅P(x0)=
 
 
(?1−?)2⋅?(?1)=(x1−μ)2⋅P(x1)=
 
 
(?2−?)2⋅?(?2)=(x2−μ)2⋅P(x2)=
 
 
(?4−?)2⋅?(?4)=

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Design of Experiments

Data

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Determine the area under the standard normal curve that lies between  a.) z=-0.65 and z=0.65 b.)z=-0...

A: Required shaded area under the normal curve. Refer Standard normal table/Z-table to find the prob...

Q: What statistical test would you use in each situation? Your options are Pearson Correlation Coeffici...

A: Pearson correlation coefficient is considered to be the best measure to be used when the two variabl...

Q: Find the mean of the data summarized in the given frequency distribution. Compare the computed mean ...

A: Low temperature  Frquency (f) Midpoint (x) f*x 40-44 3 42 126 45-49 5 47 235 50-54 9 52 468 ...

Q: For a population with a standard deviation of σ = 14, a score of X — 24 corresponds to z — 0.50. Wha...

A: Given that, The population standard deviation (σ ) is 14 The score of X is, 24 The z-score is, -0.50...

Q: The red blood cell counts (in 105 cells per microliter) of a healthy adult measured on 6 days are as...

A: Number of samples (n) =6 X X2 53 2809 50 2500 54 2916 49 2401 51 2601 55 3025

Q: Given P (A) = 0.45, P (B) = 0.30, P (A ∩ B) = 0.05. Find P (A|B).     0.45     0.135 ...

A: Solution

Q: Can you answer questions two and three

A: Correlation between two variables measure the strength and direction between two variables. It measu...

Q: A high school baseball player has a 0.171 batting average. In one game, he gets 7 at bats. What is t...

A: Given: Sample size (n) = 7 Probability of success (p) = 0.171 Probability of failure (q) =1-p = 1-0....

Q: The table shows the probability distribution for the num- ber of points (X) a player can win by spin...

A: Click to see the answer

Q: What is the Z score? X is 24, mean is 9.5137615, and standard dev is .4.2505221

A: Given Information: x = 24,  μ=9.5137615, σ=4.2505221 z-score is a standardized value that specifies ...

Q: Movie earnings The histogram shows total gross earnings(in millions of dollars) of major release mov...

A: Given that, The histogram shows total gross earnings (in millions of dollars) of major release movie...

Q: Refrigerator prices are affected by characteristics such as whether or not the refrigerator is on sa...

A: Given that the output of the regression table is as follows: Variable coefficient standard error ...

Q: Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percenti...

A: Click to see the answer

Q: The results of a common standardized test used in psychology research is designed so that the popula...

A: Click to see the answer

Q: Determine whether to reject or fail to reject Ho at the level of significance of a) a= 0.04 and b) a...

A: From the provided information, H0: µ = 140 Ha: µ ≠ 140 The p value is 0.0584.

Q: When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Ran...

A: Click to see the answer

Q: can you answer 75-79

A: 75. From the given Bar-graph,            Physicians have the highest emotional health index Score of...

Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe t...

A: Since population standard deviation is known, use z-distribution to find the critical value.

Q: can you answer 71-74

A: 71. From the Emotional health index score there are totally 14 occupations in which there are 5 occu...

Q: Is this true or false?

A: The given statement is “for a population of exam scores, a score of x = 83 corresponds to a z = + 0....

Q: Statistics Question

A: Let the R.V X denotes the number of households are turned to September road and it follows the binom...

Q: What is the confidence interval estimate of the population mean µ? ] mg/dL < µ< ]mg/dL (Round to two...

A: Click to see the answer

Q: Imagine that Alina’s shower leaks and she calls the plumber. The plumber tells her that the problem ...

A: Click to see the answer

Q: Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data ...

A: Range is the difference between maximum and minimum value.

Q: 14. In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found t...

A: a) The null and alternative hypotheses are; H0: µ = 400. That is, the sample mean is not sufficient ...

Q: "A lot of 200 nylon connectors contains 100 that are defective. Two are selected, at random, without...

A: The number of defectives in a lot of 200 nylon connectors is 100. Thus, the number of non-defectives...

Q: In an experiment of normal body temperatures in degrees Fahrenheit, 6 males ages 25-40 were given a ...

A: The data set is: 97.1 99 98.2 98.9 98.1 99.4

Q: A mutual fund company offers its customers a varietyof funds: a money-market fund, three different b...

A: Since the sum of all the given percent's is 100%. we know that the probability is already given in t...

Q: When eight basketball players are about to have a free-throw competition, they often draw names out ...

A: Given Information 8 basketball player for free throw competition Total number of orders posible = 8!...

Q: A student is taking a true/false exam with 18 questions. If he guesses on each question, what is the...

A: Given Information 18 true/false question Probability of correct answering p = 0.5 N = 18 Let X be th...

Q: Camila sets up a passcode on her smart phone, which allows only four-digit codes. She has heard that...

A: The total number of digits in pass code = 4The total unique numbers in pass code = 3 The total numbe...

Q: Sam Jones has 2 years of historical sales data for his company. He is applyingfor a business loan an...

A: Click to see the answer

Q: Below is the probability distribution of students based on their preferred course and gender. Gen...

A: Click to see the answer

Q: Interpret the following three sets of data using scatter chart and regression analysis, using slope ...

A: Note: Hello! Thanks for the question. As per our policy, we are providing the solution for the first...

Q: All 5   members of a family work. Their hourly wages (in dollars) are the following.   16, 35...

A: Population Standard deviation:   If the standard deviation is calculated for population then it is c...

Q: E: interpret your conclusion in the context of the application. 1. Reject the null hypothesis, ther...

A: (a) The level of significance is α=0.01. Let μ1 is defined as the mean rapid eye movement sleep time...

Q: The number of ships to arrive at a harbour on any given day is a random variable represented by X. T...

A: x P(x) x*P(x) 5 0.15 0.75 6 0.125 0.75 8 0.268 2.144 12 0.305 3.66 13 0.132 1.716 15 0.0...

Q: the babies born in singleton births in the united states have birth weights that are approximately n...

A:     Given information- Population mean, µ = 3.296 kg Population standard deviation, σ = 0.560 kg Let...

Q: e stem-arnd-leaf plot of weights (in pounds) of carry-on luggage on a plane is own below. Find the m...

A: [ NOTE : Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: A small Fashion Boutique sells its clothing in four size categories: Baby, Toddler, Big Kids and Adu...

A: Here it is asked to identify the sampling method for each of the given parts named as A , B , C , D....

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 538 p...

A: Click to see the answer

Q: Why is it important to monitor performance variablesthat are the most meaningful, not those that are...

A: Performance variables refer to attributes or factors that can produce variation is performance of a ...

Q: In a science fair project, Emily conducted an experiment in which she tested professional touch ther...

A: (c) Given that, The sample proportion is, Critical values: By using the standard normal table of ...

Q: In an experiment of normal body temperatures in degrees Fahrenheit, 6 males ages 25-40 were given a ...

A: The data of normal body temperature is as follows.  97.1 99.0 98.2 98.9 98.1 99.4 A 95% confid...

Q: In a survey, 27 people were asked how much they spent on their child's last birthday gift. The resul...

A: Given Information: Sample size (n) = 27 Mean = $42.6 Standard deviation = $17.5 Confidence Interval ...

Q: In a survey of 1348 ​people, 872 people said they voted in a recent presidential election. Voting re...

A: Step 1: Given: n = 1348 p = 62% = 0.62 ∴ q = 1-p = 1-0.62 = 0.38 Thus, we have, Mean = np = 1348×0.6...

Q: Find the median for the given sample data. A store manager kept track of the number of newspapers so...

A: The median is the middle value in an ordered set of data Sort the data in ascending order. The midd...