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Evaluating probability: A particular type of fruit's weights are normally distributed, with a mean of 243 grams and a standard deviation of 17 grams. If you pick one fruit at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the fruit weighs less than 184 grams? b) What is the probability that the fruit weighs more than 200 grams? c) What is the probability that the fruit weighs between 184 and 200 grams?

Evaluating probability: A particular type of fruit's weights are normally distributed, with a mean of 243 grams and a standard deviation of 17 grams. If you pick one fruit at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the fruit weighs less than 184 grams? b) What is the probability that the fruit weighs more than 200 grams? c) What is the probability that the fruit weighs between 184 and 200 grams?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Pp# 7: can you help me solve the first 3. A step by step explanation would be appreciated. Thank you!
Evaluating probability: A particular type of fruit's weights are normally distributed, with a mean of 243 grams and a standard deviation of 17 grams. If you pick one fruit at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the fruit weighs less than 184 grams? b) What is the probability that the fruit weighs more than 200 grams? c) What is the probability that the fruit weighs between 184 and 200 grams? d) Is it unlikely that a randomly chosen fruit would weigh less than 184 grams? O No, the likelihood exceeds 50% O No, the likelihood exceeds 5% O Yes, the likelihood is less than 5% O Yes, the likelihood is less than 50% e) What is the cutoff for the heaviest 2% of this type of fruit? grams (round to the nearest whole gram)
Transcribed Image Text:Evaluating probability: A particular type of fruit's weights are normally distributed, with a mean of 243 grams and a standard deviation of 17 grams. If you pick one fruit at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the fruit weighs less than 184 grams? b) What is the probability that the fruit weighs more than 200 grams? c) What is the probability that the fruit weighs between 184 and 200 grams? d) Is it unlikely that a randomly chosen fruit would weigh less than 184 grams? O No, the likelihood exceeds 50% O No, the likelihood exceeds 5% O Yes, the likelihood is less than 5% O Yes, the likelihood is less than 50% e) What is the cutoff for the heaviest 2% of this type of fruit? grams (round to the nearest whole gram)
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