Evaluating probability: A particular type of fruit's weights are normally distributed, with a mean of 750 grams and a standard deviation of 37 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 692 grams? b) What is the probability that the fruit weighs more than 705 grams? c) What is the probability that the fruit weighs between 692 and 705 grams? d) Is it unlikely that a randomly chosen fruit would weigh less than 692 grams? O No, the likelihood exceeds 5% O Yes, the likelihood is less than 5% O Yes, the likelihood is less than 50%

MATLAB: An Introduction with Applications
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Evaluating probability: A particular type of fruit's weights are normally distributed, with a mean of 750
grams and a standard deviation of 37 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 692 grams?
b) What is the probability that the fruit weighs more than 705 grams?
c) What is the probability that the fruit weighs between 692 and 705 grams?
d) Is it unlikely that a randomly chosen fruit would weigh less than 692 grams?
O No, the likelihood exceeds 5%
O Yes, the likelihood is less than 5%
OYes, the likelihood is less than 50%
O No, the likelihood exceeds 50%
e) What is the cutoff for the heaviest 18% 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 750 grams and a standard deviation of 37 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 692 grams? b) What is the probability that the fruit weighs more than 705 grams? c) What is the probability that the fruit weighs between 692 and 705 grams? d) Is it unlikely that a randomly chosen fruit would weigh less than 692 grams? O No, the likelihood exceeds 5% O Yes, the likelihood is less than 5% OYes, the likelihood is less than 50% O No, the likelihood exceeds 50% e) What is the cutoff for the heaviest 18% of this type of fruit? grams (round to the nearest whole gram)
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