Question

In: Statistics and Probability

The grapefruit are sold in sacks of 8. Let x be the number of good grapefruit...

The grapefruit are sold in sacks of 8. Let x be the number of good grapefruit in a sack. Use the given table to answer the questions

x p(x)

0 0.001

1 0.008

2 0.041

3 0.124

4 0.232

5 0.278

6 0.209

7 0.090

8 0.017

a) What is the probability of getting at most 2 good grapefruit in a sack ?

b) What is the Probability of getting at least 6 good grapefruit in a sack?

c) What is the probability of getting exactly 4 good grapefruit in a sack?

d) What is the probability of getting fewer than 4 good grapefruit in a sack?

e) What is the probability of getting all of them good grapefruit in a sack?

f) What is the probability of getting none of them good grapefruit in a sack?

g) What is the probability of getting between 4 and 6 ( exclusive) good grapefruit in a sack?

Solutions

Expert Solution


Related Solutions

Let X be the number of heads and let Y be the number of tails in...
Let X be the number of heads and let Y be the number of tails in 6 flips of a fair coin. Show that E(X · Y ) 6= E(X)E(Y ).
Let X denote the number of Canon SLR cameras sold during a particular week by a...
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is x 0 1 2 3 4 pX(x) 0.1 0.2 0.3 0.25 0.15 Seventy percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty. (a) What is P(X = 4, Y = 2)? [Hint: This probability equals P(Y = 2|X...
Suppose the sample space is S = {x| - 8 <= x <= 8}. Let A...
Suppose the sample space is S = {x| - 8 <= x <= 8}. Let A = {x|-2 < x < 2}, B = {x| -3 < x < -1}, and C = {x|1<x<3}. Determine the sets (A intersection B intersection C')'. Please show work as needed.
Let x be the number of different research programs, and let y be the mean number...
Let x be the number of different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs. x 10 12 14 16 18 20 y 1.9 1.4 1.6 1.4 1.0 0.7 Complete parts (a) through (e), given...
Let X be the event that the first number is even. Let Y be the event...
Let X be the event that the first number is even. Let Y be the event that the second number is even. Let Z be the event that the sum of the two numbers is even. Are the events X and Z independent? ( Are the events X ∩ Y and Z independent?
QUESTION 19 Let X and Y be consumption goods and let K be a capital good,...
QUESTION 19 Let X and Y be consumption goods and let K be a capital good, and assume that these are the only three goods produced in the economy. True or false: To produce today more X requires that less Y or K today be produced, but to produce more K today does not require that less X or less Y be produced. A. True B. False C. DO NOT CHOOSE THIS ANSWER. D. DO NOT CHOOSE THIS ANSWER. 1...
Let x be the average number of employees in a group health insurance plan, and let...
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 72 y 40 35 30 27 17 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Submission Data (b) Would you say the correlation is low, moderate, or strong? positive or negative? moderate and negative strong and negative     low...
Let x be the average number of employees in a group health insurance plan, and let...
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 38 70 y 40 35 30 26 16 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. (b) Would you say the correlation is low, moderate, or strong? positive or negative? low and positive moderate and positive      moderate and negative...
Let x be the average number of employees in a group health insurance plan, and let...
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 30 73 y 40 35 30 27 20 (c) Use a calculator to verify that Σx = 128, Σx2 = 6512, Σy = 152, Σy2 = 4854, and Σxy = 3085. Compute r. (Round your answer to three decimal places.) r = ???
Let x be the average number of employees in a group health insurance plan, and let...
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 40 71 y 40 35 30 28 19 (c) Use a calculator to verify that Σx = 136, Σx2 = 6924, Σy = 152, Σy2 = 4870, and Σxy = 3284. Compute r. (Round your answer to three decimal places.) r =
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT