or questions 16 to 19: Weights of apples sold in a grocery store follow a normal
ID: 3062631 • Letter: O
Question
or questions 16 to 19:
Weights of apples sold in a grocery store follow a normal distribution with mean 150 grams and standard deviation 20 grams. You take a random sample of five apples. X = number of apples heavier than 175 grams.
Question 16 (0.25 points)
There are a fixed number of trials, n.
Question 16 options:
True False
Question 17 (0.25 points)
Each trial can be categorized as being either a success or a failure (two outcomes), and X counts the number of successes.
Question 17 options:
True False
Question 18 (0.25 points)
The probability of success p stays the same from trial to trial.
True False
Question 19 Trials are independent of each other (that is, success or failure on one trial doesn't affect the probability of success or failure on any other trial).
Question 19 options:
True False
Explanation / Answer
Mean weight of apples = 150 grams
standard deviation of weight of apples = 20 gm
Here X = number of apples heavier than 175 grams
Question 16
There are a fixed number of trials, n.
Yes, it is true there are 5 number of trials here.
Question 17
Each trial can be categorized as being either a success or a failure (two outcomes), and X counts the number of successes.
Yes eachtrial is either a success or failure as an apple can't be aboe 175 gm or below 175 gm.
Question 18
The probability of success p stays the same from trial to trial.
Yes, this is also true as probability p stays the same from trial to trial and it is equal to
NORMALCDF (X > 175 ; 150 ; 20)
Question 19
Trials are independent of each other (that is, success or failure on one trial doesn't affect the probability of success or failure on any other trial).
Yes, trials are independent of each other. No apple is compared to any other apple.
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