The probability that Gerald makes a three-point shot in basketball is 20%. For practice, Gerald will regularly
shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him
to get his first successful shot.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and
in each trial, he counted how many shots it took to get the first successful shot. Here are his results:

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.