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

The correct option is A.

Step-by-step 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.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet