 ## MT220- An insurance company has 10000 automobile policy holders Statistical Methods & interference assignment help

Code –MT220Assignment Help

Subject – Statistical Methods & interface Assignment Help

## Assignment Details

### Question 1

An insurance company has 10000 automobile policyholders. If the expected yearly claim per policyholder is \$260 with a standard deviation of \$800, what is the expected total yearly claim of all 10000 policyholders?

1. 260
2. 26000
3. 8000000
4. 2600000

### Question 2

An insurance company has 10000 automobile policyholders. If the expected yearly claim per policyholder is \$260 with a standard deviation of \$800, what is the standard deviation of the total yearly claim of all 10000 policyholders?

1. 260
2. 800
3. 80000
4. 8000

### Question 3

An insurance company has 10000 automobile policyholders. If the expected yearly claim per policyholder is \$260 with a standard deviation of \$800, calculate the probability that the total yearly claim exceeds \$2.8 million (= 2.8 x 106)

1. 006
2. 002
3. 009
4. 013

### Question 4

Given that the mean contents of bags of salt labeled as containing 1 kg is 1003 g and that the standard deviation of their contents is 2 g. Suppose a random sample of 5 bags is taken. What is the expected value of the total contents of a sample of 5 bags?

1. 4995
2. 5015
3. 4550
4. 4725

### Question 5

Given that the mean contents of bags of salt labeled as containing 1 kg is 1003 g and that the standard deviation of their contents is 2 g. Suppose a random sample of 5 bags is taken. What is the standard deviation of the total contents of a sample of 5 bags?

1. 472
2. 122
3. 595
4. 982

### Question 6

Given that the mean contents of bags of salt labeled as containing 1 kg is 1003 g and that the standard deviation of their contents is 2 g. Suppose a random sample of 5 bags is taken. What is the expected value of the mean contents of a sample of 5 bags?

1. 1003
2. None of the above
3. 2006
4. 5015

### Question 7

Given that the mean contents of bags of salt labeled as containing 1 kg is 1003 g and that the standard deviation of their contents is 2 g. Suppose a random sample of 5 bags is taken. What is the variance of the mean contents of a sample of 5 bags?

1. 8
2. 6
3. 7
4. 9

### Question 8

Given that the mean contents of bags of salt labeled as containing 1 kg is 1003 g and that the standard deviation of their contents is 2 g. Suppose, a random sample of 5 bags is taken. Assuming that the contents of the bags of salts are normally distributed, What is the probability that the mean contents of a sample of 5 bags will be less than 1 kg?

1. 0009
2. 0002
3. 0007
4. 0004

### Question 9

The mean height of all the elderly women in a city is 160 cm and the variance of their heights is 36 cm2. If a sample of 50 elderly women is taken, what is the probability that their mean height will be within 1 cm of the mean height of the population of elderly women in the city?

1. 91
2. 54
3. 48
4. 76

### Question 10

The mean height of all the elderly women in a city is 160 cm and the variance of their heights is 36 cm2. If a sample of 60 elderly women is taken, what is the probability that their mean height will be less than 158 cm?

1. 016
2. 023
3. 005
4. 009