A new component for an airplane is being manufactured. Each has a 70% probability of working properly. A sample of 8 components is sampled. Find probability that:

A) all work properly.
B) 6 work properly.
C) at most 3 work properly.
D) at least 1 works properly.

Solution Summary

The solution discusses a new component for an airplane is being manufactured.

Suppose a fair coin is tossed n times. The probability of obtaining head and tail are the same because this is a fair coin. The proportion of heads is defined as the number of heads appeared divided by n. We can model this probability distribution by binominaldistribution.
For large n, the binominaldistribution can be repla

1. Find P(3) when p=.70 (round to 5 places)
2. 57% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly 8 (b) at least eight (c) less than 8

A drug tester claims that a drug cures a rare skin disease 78% of the time. The claim is checked by testing the drug on 100 patients. If at least 74 patients are cured, the claim will be accepted.
Find the probability that the claim will be rejected assuming that the manufacture's claim is true. Use the normal distribution to

The current price of a risk free pure discount bond with face value of $1,000,000 and maturity of one month from now is $995,000. The stock of Bluebell Inc. is selling now for $200.00 per share. In one month it will sell for either $225.50 or $185.75. The stock will pay no dividends over the next three months. What must be the p

Suppose that 13% of the population of the U.S. is left-handed. If a random sample of 180 people from the U.S. is chosen, approximate the probability that fewer than 26 are left-handed. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not rou

In a certain binomial distribution, π = 0.20 and n = 30. In using the normal approximation,
a. What are the mean and standard deviation of the corresponding normal distribution?
b. If x = the number of "success" among the 30 observation, determine the following: P(x = 5), P(4 ≤ x ≤ 7), P(1 ≤ x ≤

Please show all work and some explanation as to why you chose the formula you did.
Part 1.
In some countries, girls are valued much less than boys. Sometimes women in such countries abort fetuses known to be girls and many girl babies are victims of infanticide. Suppose there are 43 girls to every 57 boys who reach age 1 in

Please show work
Please show work
20. Give the focus, directix, and axis for each parabola.
36. Write an equation for each parabola with vertex at the origin.
Through (-2, ), opening left
38. Write an equation for each parabola with vertex at the origin.
Through (2,-4), symmetric with respe