Question

The probability of a sales visit to a client leading to a sale is 0.4 A business makes 100 visits per
week. What is the probability that 35 or more sales will be made in a week?

Answer 1

0.8686 or 86.86%

Step-by-step explanation:

Here we'll use Normal Distribution to solve the question.

population mean =

$np$

= (0.4)(100)= 40

standard deviation of Population=

$\sqrt{npq}$

=✓100*0.4*0.6

X=35 ( given)

convert X into continuous form

then, X= 34.5

$z = \frac{x - population \: mean}{standard \:deviation \: of \: population}$

z=(34.5-40)/2✓6

z=-1.12

P(-1.12<z<0) + P (0<z<∞)

= 0.3686 + 0.5

=0.8686