Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
Answer:
25
Step-by-step explanation:
The first step in simplifying the expression of the square root of 50 involves finding factors of 50. This just means we are trying to find two whole numbers that, when multiplied, equal 50. Since 50 is an even number, 2 is going to be a factor, and so we can rewrite 50 as 2 times 25.
Answer:
6
Step-by-step explanation:
Answer:
1:17
Step-by-step explanation:
Answer:
First one:
Both the mean and median are greater for Plot A than for Plot B
Step-by-step explanation:
Set A:
Mean:
[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10
= 5.7
Median:
Median position: (10+1)/2 = 5.5th value
(5+6)/2
Median = 5.5
Set B:
Mean:
[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10
= 5.1
Median:
Median position: (10+1)/2 = 5.5th value
(5+5)/2
Median = 5
Mean: A is greater
Median: A is greater
