5. On each of four days next week (Monday thru

Thursday), Earl will shoot six free throws. Assume that Earl's shots satisfy the assumptions

of Bernoulli trials with p = 0.37.

(a) Compute the probability that on any particular day Earl obtains exactly two successes. For future reference, if Earl obtains exactly two successes on any particular day, then we say that the event "Brad"

has occurred.

(b) Refer to part (a). Compute the probability

that: next week Brad will occur on Monday and Thursday and will not occur on

Tuesday and Wednesday. (Note: You are

being asked to compute one probability.)

16. On each of four days next week (Monday thru

Thursday), Dan will shoot five free throws. Assume that Dan's shots satisfy the assumptions

of Bernoulli trials with p = 0.74.

(a) Compute the probability that on any particular day Dan obtains exactly three successes. For future reference, if Dan obtains exactly three successes on any particular day, then we say that the event "Mel"

has occurred.

(b) Refer to part (a). Compute the probability that: next week Mel will occur exactly

once and that one occurrence will be on

Monday. (Note: You are being asked to

compute one probability.)

17. Alex and Bruce each perform 200 dichotomous

trials. A success is the desirable outcome; it requires more skill than does a failure. You are

given the following information.

? Each of the men achieves exactly 90 successes.

? Alex exhibited evidence of improving

skill over time; and Bruce exhibited evidence of declining skill over time.

25. Bert computes a 95% confidence interval for p

and obtains the interval [0.600, 0.700]. Note:

Parts (a) and (b) are not connected: Part (b) can

be answered even if one does not know how to

do part (a).

(a) Bert's boss says, "Give me a 90% confidence interval for p." Calculate the answer

for Bert.

(b) Bert's boss says, "Give me a 95% confidence interval for p?q." Calculate the answer for Bert. (Hint: p?q = p?(1?p) =

2p ? 1. Bert's interval says, in part, that

"p is at least 0.600;" what does this tell us

about 2p ? 1?)

26. Maggie computes a 95% confidence interval for

p and obtains the interval [0.50, 0.75]. Note:

Parts (a) and (b) are not connected: Part (b) can

be answered even if one does not know how to

do part (a).

(a) Maggie's boss says, "Give me a 95% confidence interval for p

2

." Calculate the answer for Maggie. (Hint: The interval says,

in part, that "p is at most 0.75;" what does

this tell us about p

2

?)

(b) Maggie's boss says, "Give me a 95% confidence interval for p ? q." Calculate the

answer for Maggie. (Hint: p ? q = p ?

(1 ? p) = 2p ? 1. The interval says, in

part, that "p is at most 0.75;" what does

this tell us about 2p ? 1?)

you will be able Find a Probability . Find the Complement of an Event . Differentiate between Mutually Exclusive Events and Non-Mutually Exclusive Events . Use the Addition Rule Differentiate between Independent and Dependent Events . Use the Multiplication Rule . Find the Probability of "At Least One" . Find a Conditional Probability EventThe folowing concepts mathematically and give some examples (numerically) which are necessary in probability theory event sample sponce - statistical inference descriptive s. permutasyou kon binasyon - clensity function - conditional probability - multiplication rule - dependent event - Independent event Boyes Rule . P.s ; The find and discuit the validated of Bayes' Rule .Homework: 5.4 Interactive Assignment 23% (1.6 points out of 7) Introduction Objective 1 Objective 2 Objective 2: Compute Probabilities Using the General Multiplication Rule 5.4 Conditional Probability and the General Multiplication Rule 5.4.21 0 of 1 Point Question Help Suppose you just received a shipment of seven televisions. Two of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work? The probability that both televisions work is (Round to three decimal places as needed.)Introduction Objective 2: Compute Probabilities Using the General Multiplication Rule 5.4 Conditional Probability and the General Multiplication Rule X) 5.4.21 0 of 1 Point Question Help Suppose you just received a shipment of six televisions. Three of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work? The probability that both televisions work is (Round to three decimal places as needed.) . Previous A