Probability-Central Limit Theorems for Independent Variables (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 3 of 6

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Question number: 1

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

A large freight elevator can transport a maximum of 9800 pounds. Suppose a load of cargo containing 49 boxes must be transported via the elevator. Experience has shown that the weight of boxes of this type of cargo follows a distribution with mean μ=205 pounds and standard deviation σ=15 pounds. Based on this information, what is the probability that all 49 boxes can be safely loaded onto the freight elevator and transported?

Choices

Choice (4) Response
a.

0.0652

b.

0.9901

c.

0.0099

d.

0.9348

Question number: 2

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

A waitress earns varying tips with a mean of Rs. 10.90 with a standard deviation of Rs. 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns Rs. 750 or more?

Choices

Choice (4) Response
a.

0.258

b.

0.742

c.

0.866

d.

0.134

Question number: 3

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

The amount of regular unleaded gasoline purchased every week at a gas station near Palampur follows the normal distribution with mean 50000 gallons and standard deviation 10000 gallons. The starting supply of gasoline is 74000 gallons, and there is a scheduled weekly delivery of 47000 gallons. Find the probability that, after 11 weeks, the supply of gasoline will be below 20000 gallons.

Choices

Choice (4) Response
a.

0.2643

b.

0.7357

c.

0.8944

d.

0.1056

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