It is known that the weights of male Persian cats are normally distributed with mean 6.1 kg and variance 0.5² kg². (a) Sketch a diagram showing the above information. (b) Find the proportion of male Persian cats weighing between 5.5 kg and 6.5 kg. A group of 80 male Persian cats are drawn from this population. (c) Determine the expected number of cats in this group that have a weight of less than 5.3 kg.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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It is known that the weights of male Persian cats are normally distributed with mean 6.1 kg
and variance 0.5²kg².
(a) Sketch a diagram showing the above information.
(b)
Find the proportion of male Persian cats weighing between 5.5kg and 6.5kg.
A group of 80 male Persian cats are drawn from this population.
(c)
Determine the expected number of cats in this group that have a weight of less
than 5.3 kg.
(d)
It is found that 12 of the cats weigh more than xkg. Estimate the value of x.
(e) Ten of the cats are chosen at random. Find the probability that exactly one of them
weighs over 6.25 kg.
Transcribed Image Text:It is known that the weights of male Persian cats are normally distributed with mean 6.1 kg and variance 0.5²kg². (a) Sketch a diagram showing the above information. (b) Find the proportion of male Persian cats weighing between 5.5kg and 6.5kg. A group of 80 male Persian cats are drawn from this population. (c) Determine the expected number of cats in this group that have a weight of less than 5.3 kg. (d) It is found that 12 of the cats weigh more than xkg. Estimate the value of x. (e) Ten of the cats are chosen at random. Find the probability that exactly one of them weighs over 6.25 kg.
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