2.A department store receives an average of 5 returned items per day. The probability that a returned itemhas an available replacement is 0.65. [Hint: there are two separate distributions here.]d.e.f.Calculate the probability that there are 4 returned items and none has availablereplacements in a certain day.Calculate the variance and the mean of the returned items.Calculate the variance and the mean of the replaced items.2

A discrete random variable X is said to follow Poisson distribution with parameter λλ, if its…

Answered: 2. A department store receives an…

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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Before a random sample has been drawn, which of the following is true? I. The sample average is a random variable. II. The sample average is a constant. II. The sample average has a variance of zero. Il and III only. III only. I only. I and Il only. Il only.
. Variance: The number of cars that pass through a toll booth in an hour follows a probability distribution with the following values: NUMBER OF CARS (X) PROBABILITY P(X) 0 0.1 1 0.3 2 0.4 3 0.2 Calculate the variance of the number of cars passing through the toll booth in an hour.
1. Of all customers purchasing automatic garage-door openers, 57% purchase a chain-driven model. Let X = the number among the next 15 purchasers who select the chain-driven model. a. Calculate P(X > 10). b. Calculate P(8
Which is a negatively skewed distribution?
Suppose X∼Bin(20,0.8).X∼Bin(20,0.8). What is the variance of XX? A. 15 B. 16 C. 5 D. 10 E. 3.2
Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
Part I A bakery sells homemade bread by the loaf and sales are uniformly distributed between 200 and 600 loaves per day. a. Find the probability of selling 240 loaves on a given day. b. Find the probability of selling between 250 and 260 loaves per day Part II The golf balls produced by TruGolf have a mean distance of 250 meters and a variance of 625 meters. c. How large a sample of TruGolf balls should be taken if they want to estimate with 90% confidence the mean distance to within 8 meters? d A random sample of 40 balls from TruGolf are selected. Find the Bound of Error when the confidence level is 95% for TruGolf
The height (in inches) of a random sample of players in NCAA Division 1 basketball teams is shown to the left. x 75 80 75 87 77 77 67 83 77 80 73 82 73 71 80 76 72 78 68 74 74 72 76 86 77 77 78 10 Variance of the height: s² = ________. a 25.53 b 24.08 c 22.72 d 21.88
Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we plan a sample of size 4 from from population A and a sample of size 9 from population B which we will pool to form the pooled variance. If you know the population variances are both in fact equal to 6, what is the probability that the pooled variance of the two samples will turn out to be less than 8 given your information? .8 .2 .82 .18 NONE OF THE OTHERS
16. The distribution of the number of chocolate chips (x) in a cookie is shown in the following table. Find the mean and the variance of the number of chocolate chips in a cookie. 1 2 3 4 P(X = x) .01 .03 .05 .11 .13 6 7 8 P(X = x) .24 .22 .16 .05
plan own. Find the mean, variance, and standard devia- tion for the distribution. 15. Lottery Prizes A lotte $500 prize, and five $1 are sold at $3 each. Fin X 1 2 3 Р(X) buys one ticket. 0.27 0.46 0.21 0.05 0.01 16. Lottery Prizes In Exe 10. Pizza Deliveries A pizza shop owner determines the number of pizzas that are delivered each day. Find the mean, vari ance, and standard deviation for the distri- bution shown. If the manager stated that 45 pizzas were delivered on one day, do you think that this is a believ- person buys two ticket is replaced after each win more than one pri 17. Winning the Lottery selects a three-digit n able claim? she can win $500. Fir daily lottery, if a pers $80. Find the expecta for $1 and boxed. (W win when the digits c Number of deliveries X 35 36 37 38 39 Probability P(X) 0.1 0.2 0.3 0.3 0.1 11. Grab Bags A convenience store has made up 20 grab bag gifts and is offering them for $2.00 a bag. Ten bags contain merchandise worth $1.00. Six bags contain mer-…
The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. Round to two decimal places. X P(x) 1 0.05 O A. 0.56 OB. 3.97 OC. 3.57 OD. 1.95 2 3 0.19 0.20 4 5 0.25 0.12 6 0.10 7 8 0 0.08 9 10- 0 0.01

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