Question

The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability. The probability of exactly 44 green marbles A. The area between 43.5 and 44.5 B. The area between 43.5 and 45.5 C. The area between 44 and 44.5 D. The area between 43.5 and 44

Answer 1

The correct option is A.

Explanation:

It is given that the probability of exactly 44 green marbles.

We need to use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.

A continuity correction is an adjustment that is made when a discrete distribution is approximated by a continuous distribution.

For example: In discrete x=7, then in continuous 6.5<x<7.5. It means we need to subtract 0.5 in the number to find the lower limit and we need to add 0.5 in the given number to find the upper limit.

Similarly,

In discrete x=44, then in continuous

44-0.5<x<44+0.5

43.5<x<44.5

The area between 43.5 and 44.5. Therefore the correct option is A.