The probability distribution for the random variable x follows:   x f(x) 20 0.20 25 0.15 30 0.25 35 0.40   Is the probability distribution valid? Explain. Draw a histogram of the probability distribution. What is the probability that x = 30? What is the probability that x is less than or equal to 25? What is the probability that x is greater than 30?

Question
  1. The probability distribution for the random variable x follows:

 

x

f(x)

20

0.20

25

0.15

30

0.25

35

0.40

 

    1. Is the probability distribution valid? Explain.
    2. Draw a histogram of the probability distribution.
    3. What is the probability that x = 30?
    4. What is the probability that x is less than or equal to 25?
    5. What is the probability that x is greater than 30?

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

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: In 2016, Red Rose tea randomly began placing one of ten English porcelain miniature figurines in a l...

A: Since the first box contains any one miniature figurine, therefore probability of getting any one mi...

Q: In a recent study, researchers found that 40 out of 250 boys aged 7-13 were overweight or obese. On ...

A: 1) Stating the appropriate null and alternative hypotheses:Based on the study, it was found that 15%...

Q: Can the value 22 be a probability?

A: Probability value always lies between 0 and 1 Probability value 0 means impossible event probability...

Q: Suppose you flip eight fair coins.   What is the probability of flipping exactly eight heads? What...

A: In a coin tossing the probability of getting a head and tail is equal and the corresponding probabil...

Q: You buy a lottery ticket to a lottery that costs $10 per ticket. There are only 100 tickets availabl...

A: Expected value:The expected value of a random variable is the sum of the possible values that the ra...

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15 tex...

A: Given information:

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be ...

A: a) According to the provided information, passwords are required to have 3 letters followed by 2 dig...

Q: dear sir mam how do u create a steam and leaf data plot

A: Stem-and-leaf plot:A graphical representation of the quantitative data in which each data entry is s...

Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5...

A: We are given,X: length of a professor’s classes has a continuous uniform distribution between 49.2 m...

Q: Exhibit 5-6Probability Distribution   x f(x)   10 .2   20 .3   30 .4...

A: The expected value of X is calculated below:

Q: The General Social Survey asks questions about one’s happiness in marriage. Is there an association ...

A: (a)The frequency marginal distribution is,

Q: 1(a) A researcher hypothesized that joining a fitness training program could result in change of wei...

A: Part i)Null Hypothesis: The mean change in weight is equal to 0Alternate Hypothesis: The mean change...

Q: The U.S. Fish and Wildlife Service reported that the mean length of six-year-old rainbow trout in th...

A: From the given information, let us define the random variable X as six-year-old rainbow trout in the...

Q: The U.S. Fish and Wildlife Service reported that the mean length of six-year-old rainbow trout in th...

A: It is given that the mean lengths are normally distributed with mean 481 millimetres and standard de...

Q: Suppose Z shows a standard normal distribution with mean 0 and standard deviation of 1. Find the pro...

A: Given:Population mean=0Population standard deviation=1Type of distribution is standard normal distri...

Q: Today, the waves are crashing onto the beach every 4.7 seconds. The times from when a person arrives...

A: Finding the minimum for the lower quartile As per the question, the lowest quartile is 025, we need ...

Q: This problem involves selecting books from a shelf. Assume that the shelf holds 6 short stories and ...

A: Random variable:The value of the given variable (X) takes possible outcomes of a statistical experim...

Q: Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the ...

A: Given:n=148p=0.14Now, the probability that between the sample proportion 0.11 and 0.19 is calculated...

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufact...

A: a)It is given that n =5,500 and p = 1/2000.The probability mass function of binomial distribution is...

Q: A test is made of H0: u= 50 versus H1: u is greater than 50. A sample of size n=75 is drawn, and mea...

A: a) The value of the test statistic is 2.598 and it is obtained below: From the given information, th...

Q: If the population mean is 132, the sample mean is 136, o 6.3, and N 18, what is z? How likely is it ...

A: The provided information is,

Q: The mean time between major failures of a group of milling machines is 4 years, with a standard devi...

A: The minimum percent of milling machines that fail between 2 and 6 years is,

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response ra...

A: The probability that exactly one responds is,

Q: 22​% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly sel...

A: Consider,X be a random variable (who favor use of unmanned drones by police agencies) that follows b...

Q: Suppose that a lottery has the following odds: 1) If you pay $3 to play this game, what is the expe...

A: 1) Considering the provided distribution, the expected value without losing any money is,

Q: 2. Use your calculator to find the indicated probability (to the nearest thousandth.) Indicate all t...

A: Consider, Let X be random variable that follows binomial distribution.i.e.

Q: A sociologist randomly selects single adults for different groups of​ three, and the random variable...

A: The condition for the valid probability distribution is, the sum of the probabilities is equal to 1....

Q: Please  also show TI 84 calculator steps and why we use invnorm

A: Introduction:Consider X as the random variable of interest.Here, it is necessary to find two values ...

Q: How to find the weighted mean of three models

A: The weighted mean is given by the following formula

Q: question e.

A: (e)Here, P (|Z|≤ 1.5) is required to be calculated using the standard normal table.P (|Z|≤ 1.5) coul...

Q: Do larger states have a higher graduation rate? If not explain why

A: The Five-Number Summary:Minimum:The minimum observation in a data set is the observation with the sm...

Q: Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from ...

A: The provided regression equation is,

Q: Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to...

A: Hello! As you have posted 5 sub parts, we are answering the first 3 sub-parts.  In case you require ...

Q: ixd s 67 Dr 5. Find the percentage of data points that lie above z 1.03. Draw a picture to support y...

A: The percentage of data points that lie above Z= 1.03.The P-value is developed using MINITAB:Choose G...

Q: 2. Find the mean, standard deviation and variance (to the nearest hundredth) of the probability dist...

A: Consider X be a random variable which represent the number of games played with the corresponding pr...

Q: It is estimated that in the general population about 9 out of every 1000 or 0.009 children are diagn...

A: Population of interest:The population of interest includes all the individuals of interest. The over...

Q: With a = .05, what is the critical t value for a one-tailed test with n = 15?

A: Solution: We are given:Level of significance = 0.05Sample size = 15The test is one-tailed.We have to...

Q: In a recent study, researchers found that 40 out of 250 boys aged 7-13 were overweight or obese. On ...

A: 1)The appropriate null and alternative hypothesis is stated below:It is given that the population pr...

Q: Question 1-GPA computation Let's assume in your first semester at Cal State LA, you took 5 courses, ...

A: 1.Since that the method to calculate the GPA is not given, assuming that in the following way the gr...

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be ...

A: Part a)Probability that the person is female is 0.56.Calculations:

Q: Would it be unusual for an data value to be more extreme than 4.76 standard deviations from the mean...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Suppose that the average number of Facebook friends users have is normally distributed with a mean o...

A: Given dataMean = 130Standard deviation = 49n = 44The first quartile means, the probability = 0.25The...

Q: I'm currently working on sampling distribution and proportions in my college intro to stats class. I...

A: It is given that p is 0.1 and n is 500. Therefore, q = 0.9 (= 1 –p = 1 – 0.9).

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color...

A: Given data52 cards26 black26 red4 suits of 13 each heart, club, diamond, spade

Q: I have no clue..

A: Given data and calculation for the mean and standard deviation is shown below

Q: According to a national​ study, 32​% of taxpayers used computer software to do their taxes for a cer...

A: From the given information, 32​% of taxpayers used computer software to do their taxes for a certain...

Q: A set of n= 5 pairs of X and Y values has SSx = 16, SSy = 4 and SP = 2. For these data, what is the ...

A: It is given that, SSx is 16, SSy is 4, and SP = 2.

Q: Consider a Poisson distribution with μ 3.   Write the appropriate Poisson probability function.  ...

A: It is given that µ = 3.

Q: At the grocery store, Derek has narrowed down his selections to 3 vegetables, 6 fruits, 7 cheeses, a...

A: Introduction:Combination:Suppose there are n distinct items in a population. From these items, r dis...

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response ra...

A: The probability that all respond is obtained below:Here, the response rate is considered as a succes...