1. The probability that a person will subscribe to Statistics Monthly is 48%. Find the probability that out of a group of seven, at least one person subscribes.

2. There are charts as well – but only for some probabilities so you need to know the formula.

3. MORE BINOMIAL USING CALCULATOR Section 6.3B

4. Using the calculator to find binomial probabilities. To find exactly 1 probability: binompdf(n, p, x) Press: 2 nd Distribution 0 binompdf(n,p,x) n – for number of trials p – for given percent x - # we want

5. A tourist bureau for a western state conducted a study, which showed that 65% of the people who seek information about the state actually come for a visit. The office receives 15 requests for information on the state. Find the probability that exactly 10 visit. Binompdf(15, 0.65, 10) You should get 0.2123 or 21.2%

6. Remember: PDF is for exactly

7. To accumulate probabilities – adding more than one- we use binomcdf. It accumulates starting with x = 0 up to the value you want. It’s under 2 nd distribution A binomcdf (n, p, x)

8. A survey found that 30% of teens get spending money from part time jobs. If 5 teens are selected at random find the probability that at most 3 of them have part time jobs. xp(x) 00.16807 10.36015 20.3087 30.1323 40.02835 50.00243 0.96922 On the calculator: Binomcdf(5, 0.30,3)

9. A survey found that 30% of teens get spending money from part time jobs. If 5 teens are selected at random find the probability that at least 3 of them have part time jobs. xp(x) 00.16807 10.36015 20.3087 30.1323 40.02835 50.00243 0.16308 On the calculator: Binomcdf(5, 0.30,2)= 0.83692 1 - Binomcdf(5, 0.30,2) = 0.16308

10. To do the bottom of the list: You accumulate the top part of the distribution. Subtract from 1.

11. A survey found that 30% of teens get spending money from part time jobs. If 5 teens are selected at random find the probability that more than 3 of them have part time jobs. xp(x) 00.16807 10.36015 20.3087 30.1323 40.02835 50.00243 0.03078 On the calculator: Binomcdf(5, 0.30,2)= 0.96922 1 - Binomcdf(5, 0.30,3) = 0.03078

12. Tim did not study for his quiz with 5 multiple choice (A, B, C, D) questions. Hint: Probability of correct choice is ¼ = 0.25! What is the probability that he got exactly 3 correct? What is the probability that he got at most 2 correct? What is the probability that he got more than 3 correct?

13. A certain type of penicillin will cause a skin rash in 35% of the patients receiving it. If the penicillin is given to a random sample of 15 patients what is the probability that at least 7 will have a skin rash? If it is given to a random sample of 9 patients, what is the probability that at least one will have a skin rash? If it is given to a random sample of 12 patients, what is the probability that exactly 5 will have a skin rash?

14. Homework *Worksheet