Answer:
E(x) = 7.05
Step-by-step explanation:
We are given the following information in the question:
x: 1 2 4 8 16
p(x): 0.05 0.10 0.30 0.40 0.15
Formula:

Hence, the expectation of the given data is 7.05
Answer:
47.80
Step-by-step explanation:
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Answer:
20.
Step-by-step explanation:
P(5,3) = 5! / 3!
= (5*4*3*2*1) / (3*2*1)
= 20.
Answer:
3972.72 specimens
Step-by-step explanation:
We solve using the z score formula:
z = (x-μ)/σ where
x is the raw score = 73 cm
μ is the population mean = 147 cm
σ is the population standard deviation = 30 cm
N is the number of samples = 4000
For x > 73
z = 73 - 147/30
z = -2.46667
Probability value from Z-Table:
P(x<73) = 0.0068189
P(x>73) = 1 - P(x<73) = 0.99318
The probability of having a height greater than 73cm is: 0.99318
The number of specimens that have a height greater than 73cm is calculated as: 0.99318 × 4000
= 3972.72 specimens