ehaynie
21.07.2019 •
Mathematics
Jake's class has 18 boys and 9 girls which represents the part of the class that is boys?
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Ответ:
Ответ:
a) P(X ≤ 2) = 0.677
b) P(X ≥ 5) = 0.043
c) P(1 ≤ X ≤ 4) = 0.835
d) P(x=0) = 0.072
e) expected value: 2 boards
standard deviation: 1.34 boards
Step-by-step explanation:
We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.1.
The probability that k number of defective boards in the sample is:
a) We have to calculate the probability that 2 or less number of defective boards. This can be calculated as:
The probability that 2 or less number of defective boards is 0.677.
b) We have to calculate the probability that 5 or more number of defective boards. This can be calculated as:
The probability that 5 or more number of defective boards is 0.043.
c) We have to calculate P(1 ≤ X ≤ 4)
d) The probability that none of the 25 boards is defective is P(x=0), but now calculated for a sample size n=25.
e) The expected value and standard deviation for X (n=20, p=0.1) are: