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A cat breeder has many cats whose weights average 22 pounds with an SD of 4 poun

ID: 3350711 • Letter: A

Question

A cat breeder has many cats whose weights average 22 pounds with an SD of 4 pounds. Assume that the amount would be normally distributed.

A. What is the probability that a randomly selected cat weights more than 25lb? Answer:_______(enter a, b, c, d or e)

  a. 0.23 b. 0.31 c. 0.69 d. 0.91 e. 0.77

B. What is the probability that a randomly selected cat weights between 23 to 26lb? Answer:_______ (enter a, b, c, d or e)

  a. 0.16 b. 0.31 c. 0.77 d. 0.24 e. 0.06

C. How many of the next 100 cats will weight less than 28lb? Answer:______ (round DOWN, that is, round the answer to the closest integer below the number (no decimals). That is, if the answer is 10.9378, enter 10). Hint: Think about what is the probability that a cat weights less than 28lb. Then think, if you have 100 cats, how many will weight less than 28lb?

      a. 2 b. 43 c. 54 d. 93 e. 97

Explanation / Answer

a)

option A is correct

b)

option D is correct

c)

therefore number of cars =np=100*0.9332 =~93

option D is correct

for normal distribution z score =(X-)/
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