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 chocon fruit would woigh less than 181 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? d) Is it chocon fruit would woigh less than 181 grams?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 4E
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Pp# 7: can you help me solve and understand this practice problem please? Only the last two, A step by step explanation would be appreciated. Thank you!
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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