Name:Date:Score:Course and Section:_Teacher:Activity 2: Constructing Probability DistributionsTarget Skills:• Construct Histogram of a Probability Distribution for a discrete random variable.• Compute for Mean, Standard Deviation and Variance of a discrete randomvariable.1. The number of inquiries received per day by the Office of Admissions in a certainuniversity is shown below:Number of Inquiries(X)ProbabilityP(X)22230.080.19240.36250.250.0726270.05a. Construct the probability distribution through graph (Histograph).b. Compute for Meanc. Compute for Standard Deviation and Variance

Answered: 1. The number of inquiries received per…

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...

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B12. (Excel: Calculating means, standard deviations, covariance, and correlation) Given the probability distributions of returns for stock X and stock Y, compute: a. the expected return for each stock, and b. the variance of the return for each stock c. the covariance between the returns for stock X and stock Y d. the correlation coefficient between the returns for stock X and stock Y. Probability Stock X Stock Y 0.1 -10% 4% 0.3 0 8 0.3 6 0 0.2 10 -5 0.1 20 15
4. The delivery time for all food orders at a fast food restaurant have a mean of 6.7 minutes and a standard deviation of 2.1 minutes. a. Assume a normal distribution and compute the probability that an order is delivered in less than 6 minutes. prob = b. Find the probability that the mean of 40 orders is less than 6 minutes. prob = c. Find the probability that serving 40 orders takes less than a total of 4.5 hours. prob = %3D
1. A bank vice president feels that each savings account customer has, on average, two credit cards. The following distribution represents the number of credit cards people own. Find the mean, variance, and standard deviation. Is the vice president correct? Draw a graph for this distribution. Number of cards x 2 4 6 8 Probability P(x) 0.50.20.20.1
In a distribution with o = 20, a score that has a z-score of z =+0.50 Is below the mean by 10 points. O True O False
4. The time spent commuting from home to work for all employees of a very large company has a normal distribution with a mean of 43.4 minutes and a standard deviation of 12.1 minutes. The probability, rounded to four decimal places, that the mean time spent commuting from home to work by a sample of 21 employees will be between 43.26 and 49.35 minutes is:
20. Sampling distribution. From 1975 through 2016, the mean gain of the Down jones industrial average was 470. A random sample of 32 years is selected from population. What is the probability that the mean gain for the sample was between 200 and 500. The standard deviation of population is 1215
The Bank of America VP feels that each savings account customer has, on average, three credit cards. The following distribution represents the number of credit cards people own. 2. 1 2 3 P(X) 0.18 0.44 0.27 0.08 0,03 a. Find the mean, variance, and standard deviation. o²= O = b. Is the VP correct?
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
Rental car transaction times are uniformly distributed between 15 and 35 minutes. a. P( transaction takes less than 20 minutes) b. P(transaction takes more than 29 minutes) c. P( transaction takes between 18 and 30 minutes) d. P(transaction takes exactly 19 minutes) e. What is the mean transaction time? f. Determine the standard deviation.
The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (b) below.
3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

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