Suppose that the amount of time that students spendstudying in the library in one sitting is normally distributedwith mean 42 minutes and standard deviation 21 minutes. Aresearcher observed 45 students who entered the library tostudy. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N(b. What is the distribution of x? ~ N(c. What is the distribution of Σα? Σαx? x - NOd. If one randomly selected student is timed, find theprobability that this student's time will be between 38and 42 minutes.e. For the 45 students, find the probability that theiraverage time studying is between 38 and 42 minutes.f. Find the probability that the randomly selected 45students will have a total study time more than 1665minutes.g. For part e) and f), is the assumption of normalnecessary? No Yesh. The top 15% of the total study time for groups of 45students will be given a sticker that says "Greatdedication". What is the least total time that a groupcan study and still receive a sticker?minutes

It is given asMean, μ = 42Standard deviation, σ = 21Sample size, n = 45Note: According to Bartleby…

Answered: a. What is the distribution of X? X -…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Q.5 What are the properties of a distribution function?
A school newspaper reporter decides to randomly survey 15 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 13% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. O Part (a) O Part (b) O Part (c) Give the distribution of X. -O(0:0) O Part (d) How many of the 15 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) O Part (f) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
PI. A shipment of 8 television sets contains 3 defective sets. A hotel makes a random purchase of 4 these sets. If X is the number of defective sets purchased by the hotel, find (a0 the probability distribution and (b) the cumulative distribution of X. Using F(x), find (c) P(X = 2) and (d) P(0 < X< 3)
b. The table below shows the probability distribution of the number of stores visited per customer per single visit to the mall. Assume that a customer can visit at most four stores per single visit to the mall. Number of stores visited per customer per single visit (x) Probability P(x) xP(x) (x-μ)²p(x) 0 0.04 1 0.41 2 0.40 3 0.09 4 0.06 i. Using the table above, compute the expected number of stores visited per customer per single visit to the mall for the above distribution. ii. Using the table above, compute the standard deviation for the above distribution.
Prob & Stat 1
ch 7
Which of the following characteristics do normal and uniform distributions have in common? A The distributions are symmetric and all values are equally likely. B The mean is equal to the median and the range is infinite. The distributions are symmetric and the range is infinite. D The distributions are symmetric and the mean is equal to the median.
i need help with a-d
Which of the following statements is FALSE regarding the t distribution The t distribution for df = 4 is flatter and more spread out than the t distribution for df = 20 The t distribution is symmetrical The standard deviation of the t-distribution is one The mean of the t-distribution is zero As the degrees of freedom increase, the t-distribution approaches the normal distribution
I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…
Q4
The following data are given to you to find out whether the distribution is platykurtic: N- 100, Eα-15, Σα)= 97, Σα-33, Σα-253 and common factor (9) -3.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

a. What is the distribution of X? X - N( b. What is the distribution of x? x ~ N( c. What is the distribution of Σα? Σα - N