12. Of the bolts manufactured for a certain application, 85% meet the length specification and can be use immediately, 10% are too long and can be used after being cut, and 5% are too short and must be scrappe Eight bolts are selected at random. a What is the probability that one or more is too short? b What is the probability that seven or more are not too short? c What is the probability that more than three are either too long or too short? d What is the probability that exactly six are either too long or too short?

Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female?   2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?

I need solutions for D,E and F too please?

Assume this year's flu vaccine has a 65% chance of being effective. If the vaccine is given to 314 randomly selected people, answer the following.d) What is the probability that exactly 200 of them did not get the flu?   g) What is the probability that exactly 204 of them did not get the flu?     Round final answer to 4 decimal places. h) What is the probability that at least 204 of them did not get the flu?     Round final answer to 4 decimal places. i) What is the probability that at most 204 of them did not get the flu     Round final answer to 4 decimal places.

The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 6 girls? at most 7 girls?

According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)

16. A soldier is parachute training. He jumps out of plane high enough that the pilot determines the soldier will land somewhere in an 240 foot radius land zone. The pilot forgot to mention to the soldier that the parachute has very little maneuverability (no steering) and there are 30 trees in the landing zone. Each tree from the air practically outlines a circle with a radius of 8 feet. What is the geometric probability that the soldier will land Area of Circle =ar? 240 ft a tree? (- 8 tr LAND ZONE TREE Decimal: M. Winking (Section 7-2) p. 154