Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line

The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.

Step-by-step explanation:

We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.

Let X = Number of baseballs having straight stitching

The above situation can be represented through the binomial distribution;

where, n = number of samples (trials) taken = 7 baseballs

            r = number of success = exactly 5

            p = probbaility of success which in our question is the probability

                   that baseballs have straight stitching, i.e.; p = 89.4%

So, X ~ Binom(n = 7, p = 0.894)

Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)

            P(X = 5) =  

                          =  

                          =  0.1347 or 13.47%

Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome