3. A research scientist reports that mice will live an average of 35 months when their diets aresharply restricted and then enriched with vitamins and proteins. Assuming that the lifetimes ofsuch mice are normally distributed with a standard deviation of 4.2 months,Find the probability that a given mouse will live less than 30 months.Find the probability that a given mouse will live between 33 and 46 months.A.В.

For the given data mean=35 ,s.d=4.2 Find (A)P(X<30)=? (B)P(33<X<46)=?

Answered: 3. A research scientist reports that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115 boxes needs to be transported via this semi-truck. Research has shown that the weights of boxes for this type of cargo have a distribution that has a population mean weight of 125 pounds and a population standard deviation of 20 pounds. Based on this information, what is the probability that all 115 boxes can be safely loaded into the semi-truck and transported?
2. An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that the claims are true, find the probability that a randomly selected battery of this type will last less than 48 months. (Use the software link for every question) (a) Let X = number of months a battery will last. Write the question above in terms of this variable X (b) Find the probability that a single battery of this type will last less than 48 months. (c) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months. (d) Why do you think the values from part (b) and part (c) are different? Explain.
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A population has an average of 125 and a standard deviation of 15. Calculate the probability that in a sample of size 75, the sample mean is greater than 130.
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Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level. Greater than 190
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