Prob-3 A company makes electric motors. The probability an electric motor is defective is 5% . What is the probability that a sample of 100 electric motors will contain no defective motor

7.88 * 10^-31

Step-by-step explanation:

Given that :

Probability of being defective p = 0.5

probability that a sample of 100 electric motors will contain no defective motor

n = 100

P(x = 0)

Using the binomial probability function :

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

P(x = 0) = 100C0 * 0.5^0 * (1 - 0.5)^(100-0)

P(x = 0) = 100C0 * 0.5^0 * 0.5^100

P(x = 0) = 1 * 1 * 7.88*10^-31

P(x = 0) = 7.88 * 10^-31

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4