Question

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

Answer 1

Answer and Step-by-step explanation:

p= probability of straight stitching = 89.4% = 89.4/100= 0.894

n = the total sample of randomly selected baseballs

x = quantity of baseballs that have straight stitching = 5

x follows a binomial distribution

p(X=x) = nCx * p^x(1-p)^n-x

= 7C5 * 0.894⁵ * (1-0.894)⁷⁻⁵

= 21 * 0.571 * 0.011236

= 0.1347

= 13.47%

the probability is only 13.47% therefore the company has to stop the production line