Let A and B be events with P(A) = 0.8; P(B) = 0.4, and P(B|A) = 0.2. Find P(A and B). O 0.16 O 0.25 O 0.32 0.08

Q: Example 51. Compute D; of the following data: 15 18 21 20

A: Data given  13,14,7,12,9,17,8,10,6,15,18,21,20   

Q: Given the following contingency table for Hair colour and Eye colour, find the value of x. Is there ...

A: Given that: A contingency table is given  Firstly we calculate expected frequency (E)  E = (R × C ) ...

Q: What is the area under the normal curve between z=1.15 and z=-1.85? [Hint: P(-1.85 < Z <0) = 0.4678 ...

A: Find P ( -1.85 &lt; Z &lt; 1.15 ) =?  

Q: 2. Given a standard deviation of 3.7, what is the mean if1 0% of the population has a distribution o...

A: We have given that,  Let x be the random variable from normal distribution with standard deviation (...

Q: Use the range rule of thumb to identify the values that are significantly low, the values that are s...

A:

Q: Example Two unbiased dice are tossed. Let w denote the number on the first die and r denote the numb...

A: The sample space, S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1...

Q: The number of megapixels in a digital camera is one of the most important factors in determining pic...

A: For the given data The camera has 10  megapixels predict the price of this camera using the regressi...

Q: Consider a regression setting with input data XER® following a Gaussian distribution X~N(4, E). The ...

A:

Q: If P(0 < Z < 0.53) = 0.2019, find the value of P(Z < 0.53)?

A: We have Given that P(0 &lt; Z &lt; 0.53) = 0.2019 We have to find P(Z &lt; 0.53)

Q: If np> 5 and nq > 5, estimate P(more than 9) qith n=12 and p = 0.7 by using the normal distribution ...

A: Given,n=12p=0.7q=1-pq=1-0.7=0.3

Q: Sind the range of weight of 10 students from the following : 41 11 14 65 . 73 84 53 35 71 55

A:

Q: Which of the following tables can be used as a more exact substitute for the empirical rule? t table...

A: We know that- The Empirical rule is used to determine that 68% -95% -99.7% of the data lies in the i...

Q: required: Find the summation of y raised to 2 Find the summation of x raised to two Find the summati...

A: We have given that  The data of a person’s age and the number of magazines to which that person subs...

Q: A binomial experiment is given. Decide whether you can use the normal distribution to approximate th...

A:

Q: What type of sampling technique does this represent

A: here use basic of sampling method

Q: n light of evidence about how COVID-19 spreads, the CDC recommends that people wear a cloth facemask...

A: Given data,  

Q: The mean of 200 items is 48 and their Standard Deviation is 3. Find : (i) The sum of all the items, ...

A:

Q: Which of the following is a non-parametric test?

A: Given that  We have to find which of these is non parameter   Z test  ANOVA  T test  Chi square   

Q: The minute duration of a random category of dramas in Netflix are the following: 93, 83, 76, 92, 77,...

A:

Q: The marketing director at Nike is interested in knowing whether there is an association between dail...

A:

Q: From the following data compute the mean marks of all the students of 50 schools in a city : Average...

A:

Q: The student council is hosting a drawing to raise money for scholarships. They are selling tickets f...

A:

Q: Calculate the coefficient of skewness for the following : Height inches : 58 59 60 61 62 63 64 65 No...

A:

Q: What number completes the folloming distribution containing 3 trials? P(X) 0.25 0.35 0.30

A: Given data, What is the probability that distribution contains 3 trials?

Q: (i) The sum of all the items, (ii) The sum of squares of all the items.

A: Here use formula of mean and standard deviation 

Q: The population mean and standard deviation are given below. Find the required probability and determ...

A:

Q: Use the data in the following table, which lists survey results from high school drivers at least 16...

A: Solution-: We have following table:     Drove when driving Alcohol Total     Yes No Tested wh...

Q: The following data relate to the age of a group of Govt. employees. Calculate the arithmetic mean an...

A:

Q: astration 11.18. It is known that.Yand the median of a distri- bution are 3.0 and 4.0. Is the distri...

A: Given:  Mean =3 and median =4 of data set them identify whether it is skewed or not ?

Q: Draw a cumulative frequency curve for the following data: Marks : 0-10 10-20 20-30 30-40 40-50 50 - ...

A:

Q: At a certain company, three alternative techniques, A, B, and C for training employees to perform a ...

A: Use F – distribution table values,  to find the critical value at α% level of significance with [ df...

Q: 1. This refers to an Hypothesis a. b. Test statistiC 2. What mathemati Graphical re a. b. Normal cur...

A:

Q: 5. Suppose that a student attending a class has an infectuous disease. Suppose that with probability...

A: We have given that  Let X be the number of people infected by the students.        X        0    ...

Q: If the area to the left of x in a normal distribution is 0.842, what is the area to the right of x? ...

A:

Q: Use the range rule of thumb to identify the values that are significantly low, the values that are s...

A:

Q: Fix the roads! ~ The Township Board of Meridian Township wants to know how much public support there...

A: Given90% confidence for the actual proportion is (0.57,0.62)upper bound=0.62lower bound = 0.57

Q: Example 49. The following data relate to the sizes of shoes sold at a store during a given week. Fin...

A:

Q: with a standard deviation of 0.68 years. What ages (rounded to two decimal places) would represent t...

A: Here mean = 16.4 year Standard deviation  = 0.68 year Here use standard normal distribution table fo...

Q: On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with ...

A:

Q: An Internet survey asked 525 Facebook users whether the amount of time they spent using Facebook was...

A: From the provided information,

Q: Which of the following is used to calculate an interval approximation of the value of a descriptive ...

A: Confidence interval is used to calculate an interval approximation of the value of descriptive measu...

Q: Data on fifth-grade test scores (reading and mathematics) for 414 school districts in California yle...

A: Given the mean and variance of fifth-grade test scores (reading and mathematics) for 414 school dist...

Q: Illustration 11.15. (a) 1 he standard devi distribution is 3. What must be the value of the 4th mome...

A:

Q: Suppose Y is distributed with mean=80 and variance=100. You obtain a large number of samples each of...

A:

Q: (d) The production cost of a phone battery is $100 and the selling price to the mobile company is $5...

A: The production cost of a phone battery is $100 and the selling price is $500. But, if the battery is...

Q: a. Is Y discrete or continuous? Explain. Plot the PMF/PDF of random variable Y (whichever is appli...

A: For the given data  a. Is Y discrete or continuous? Explain. Plot the PMF/PDF of random variable Y (...

Q: Problem 8. Calculate the Karl Pearson's coefficient of skew- ness from the following data : No. of S...

A:

Q: A Social Security number consists of nine digits in a particular order, and repetition of digits is ...

A:

Q: The number of traffic accidents per week in a small city has a Poisson distribution with the standar...

A:

Q: For a tv

A: For a two tailed distribution, the rejection region will be in both the tails.