When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. let x = the number of defective boards in a random sample of size n = 25, so x ~ bin(25, 0.05). (round your probabilities to three decimal places.)
(a) determine p(x ≤ 2).
(b) determine p(x ≥ 5).
(c) determine p(1 ≤ x ≤ 4).
(d) what is the probability that none of the 25 boards is defective?
(e) calculate the expected value and standard deviation of x. (round your standard deviation to two decimal places.)

expected value boards
standard deviation boards

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2. approximately what percent of bags contain between 69 and 73 potato chips? approximately 68% approximately 71% approximately 95% approximately 99.7%

The experience c-0.25c can be used to find the cost of an item on sale for 25% off which expression beloit equivalent to c-0.25c

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?