Mathematics, 16.12.2021 21:00 Alexishp33
Consider a binomial distribution with n = 10 trials and the probability of success on a single trial p = 0.85.
(a) Is the distribution skewed left, skewed right, or symmetric?
(b) Compute the expected number of successes in 10 trials.
(c) Given the high probability of success p on a single trial, would you expect P(r ≤ 3) to be very high or very low? Explain.
1) Very low. The expected number of successes in 10 trials is more than 3, and p is so high that it would be common to have so few successes in 10 trials.
2) Very high. The expected number of successes in 10 trials is more than 3, and p is so high that it would be unusual to have so few successes in 10 trials.
3) Very low. The expected number of successes in 10 trials is more than 3, and p is so high that it would be unusual to have so few successes in 10 trials.
4) Very high. The expected number of successes in 10 trials is more than 3, and p is so high that it would be common to have so few successes in 10 trials.
(d) Given the high probability of success p on a single trial, would you expect
P(r ≥ 8) to be very high or very low? Explain.
1) Very low. The expected number of successes in 10 trials is more than 8, and p is so high that it would be unusual to have 8 or more successes in 10 trials.
2) Very low. The expected number of successes in 10 trials is more than 8, and p is so high that it would be common to have 8 or more successes in 10 trials.
3) Very high. The expected number of successes in 10 trials is more than 8, and p is so high that it would be common to have 8 or more successes in 10 trials.
4) Very high. The expected number of successes in 10 trials is more than 8, and p is so high that it would be unusual to have 8 or more successes in 10 trials.
Answers: 3
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1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?
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