Question

Draws are being made at random with replacement from a box. The number of draws is getting larger and larger. Say whether each of the following statements is true or false.

a. The probability histogram for the sum of the draws ( when put in standard units) converges to the normal curve.

b. The histogram for the numbers in the box when put in standard units converges to the normal curve.

c. The histogram for the numbers drawn when you put in standard units converges to the normal curve.

d. The probability histogram for the product of the draws when put in standard units converges to the normal curve

E. The histogram for the numbers drawn converges for the numbers in the box

Answer 1

Solution

a) True as according to central limit theorm as number of draws increases it will converges to the noraml curve

b) False they converges for the sum of draws

c) False it converges to the hostogram of the numbers in the box

d) False sum converges to normal not product

e) True histogram for the numbers drawn converges for the numbers in the box