Answer: a. 374.4321
Step-by-step explanation:
Taking the central limit theorem(number of samples is large) into consideration, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/(σ/√n)
Where
x = annual sales per square foot .
µ = mean annual sales per square foot
σ = standard deviation
n = number of samples
From the information given,
µ = $370
σ = $38.54
n = 64
The probability value is 18/100 = 0.18
Looking at the normal distribution table, the z score corresponding to the probability value is - 0.92
Therefore,
- 0.92 = (x - 370)/(38.54/√64)
x - 370 = - 0.9 × 4.8175 = 4.33575
x = 370 + 4.4321 = $374.4321
Answer:
a) P(X = 75) = 0.30
(b) P(X ≤ 75)
= 0.2 + 0.4 + 0.3 = 0.90
(c) P(X > 50).
= 0.3 + 0.1 = 0.40
(d) P(X < 100)
= 0.2 + 0.4 + 0.3 = 0.90
(e) parts b, c & d are CDF
Answer:
Volume of rectangular tank = 6 cubic feet
Step-by-step explanation:
Length of the rectangular tank = 3 feet
Width of the tank = 1 feet
And height of the rectangular tank = 2 feet
Since, tank is in the shape of a cuboid,
Volume of a cuboid = Length × Width × height
= 3 × 1 × 2
= 6 cubic feet
Therefore, volume of the rectangular tank will be 6 cubic feet.
