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2 answers:
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Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is
Where
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula
Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
Answer:
Step-by-step explanation:
Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.
Sample proportion =
To find 90% confidence interval we must find std error of proportion first
As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753
Std error of proportion=
90% Z critical value = 1.645
Margin of error = 1.645*0.01363 = 0.0224
Confidence interval lower bound = 0.753-0.0224=0.731
Upper bound = 0.775