A car park holds 480 cars when full. The probability of a car in the car park being silver is 0.375. On Friday morning the car park was full and Jamie counted 164 silver cars. Is this more or less
than expected?
Justify your answer by calculation

164 is less than the expectation

Step-by-step explanation:

Given

--- Cars

--- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

Substitute values for n and p

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.

37

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi