# Probability-Central Limit Theorems for Independent Variables (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 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 pounds. Suppose a load of cargo containing 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 pounds and standard deviation pounds. Based on this information, what is the probability that all boxes can be safely loaded onto the freight elevator and transported?

### Choices

Choice (4) Response

a.

b.

c.

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 gallons and standard deviation gallons. The starting supply of gasoline is gallons, and there is a scheduled weekly delivery of gallons. Find the probability that, after weeks, the supply of gasoline will be below gallons.

### Choices

Choice (4) Response

a.

0.2643

b.

0.7357

c.

d.

0.1056

## Question number: 4

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

### Question

Suppose that you have a sample of values from a population with mean and standard deviation. What is the probability that the sample mean will be in the interval ?

### Choices

Choice (4) Response

a.

0.1056

b.

0.8944

c.

0.7888

d.

0.2112