1. Find the following: MeanSt. Dev. X5012 Y285

2. MORE BINOMIAL USING CALCULATOR Section 6.3B

3. You have a small business making and delivering box lunches. It costs you $2.10 per lunch plus $75 for operating costs. If the number of lunches you sell is shown below, find the expected cost for making and delivering the box lunches as well as the standard deviation. x= # lunches200240280320360 p(x)0.150.170.280.320.08

4. The cost to rent a car is $45 per day and $.25 per mile. The distributions for each are shown below. Find the expected cost to rent a car and the standard deviation of the cost. d = #days123456 p(d)0.130.180.220.310.090.07

5. 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

6. 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%

7. Remember: PDF is for exactly

8. 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)

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 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)

10. 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

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

12. 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

13. 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?

14. 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?

15. The probability that a person gets a job within a month of graduating from college is 78%. Find the probability that in a group of 8 recent graduates, more than 6 found a job. Find the probability that in a group of 12, at least 9 found a job.

16. Homework *Worksheet