Challenge You play two games against a similar rival.

The likelihood you dominate the main match is 0.4. On the off chance that you win

the primary game, the likelihood you additionally win the second

is 0.2. On the off chance that you lose the principal game, the likelihood that you

win the second is 0.3.

a) Are the two games free? Clarify.

b) What's the likelihood you lose the two games?

c) What's the likelihood you dominate the two matches?

d) Let irregular variable X be the quantity of games you

win. Discover the likelihood model for X.

e) What are the normal worth and standard deviation?

A sales rep goes house to house in a neighborhood to show the utilization

of another home device to possible clients. Toward the finish of a show,

the likelihood that the potential client would submit a request for the item is a

steady 0.2107. To perform agreeably at work, the salesman needs at any rate

four orders. Expect that every showing is a Bernoulli preliminary.

a. In the event that the sales rep makes 15 exhibitions, what is the likelihood that

there would be by and large 4 orders?

b. On the off chance that the sales rep makes 16 exhibits, what is the likelihood that

there would be all things considered 4 orders?

c. In the event that the salesman makes 17 shows, what is the likelihood that

there would be at any rate 4 orders?

d. In the event that the sales rep makes 18 exhibitions, what is the likelihood that

there would be somewhere in the range of 4 to 8 (both comprehensive) orders?

e. In the event that the salesman needs to be at any rate 90% certain of getting at any rate

4 orders, in any event what number of exhibitions would it be a good idea for her to make?

f. The salesman has the opportunity to make just 22 exhibitions, she still

needs to be at any rate 90% certain of getting at any rate 4 orders. She means

to acquire this certainty by improving the nature of her exhibition and

in this manner improving the odds of getting a request toward the finish of a showing. At any rate to what exactly worth should this likelihood be expanded in

request to acquire the ideal certainty? Your answer ought to be precise to

four decimal spots.

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An investigation of 31,000 clinic affirmations in New York State tracked down that 4% of the confirmations

prompted treatment-caused wounds. One-seventh of these treatment-caused wounds came about in

passing, and one-fourth were brought about by carelessness. Misbehavior claims were recorded in one out

of 7.5 cases including carelessness, and installments were made in one out of each two cases.

a. What is the likelihood an individual conceded to the emergency clinic will endure a treatment-caused

injury because of carelessness?

b. What is the likelihood an individual conceded to the clinic will kick the bucket from a treatmentcaused

injury?

c. On account of a careless treatment-caused injury, what is the likelihood a negligence

guarantee will be paid?

An import-trade firm has a 0.45 possibility of finishing up an arrangement to send out agrarian gear to a non-industrial country if a significant contender doesn't offer for the

contract, and a 0.25 likelihood of finishing up the arrangement if the contender offers for

it. It is assessed that the contender will present a bid for the agreement with likelihood 0.40. What is the likelihood of getting the arrangement?

SOURCE 2. Let X = (X1, . .., Xn) be a random sample such that X; follows Rayleigh distribution with the probability density function given by f(x; 0) =$ Dze / (202) where 6 > 0 is the unknown parameter and x 2 0. (a) (5 points) Conduct the wald type and score test for hypothesis testing: Ho : 0 = 1, vs H1 : 0#1.\fpothes's Tests Im x Search Results Search Results /111114/quizzes/200369/take When using the t-test for hypothesis testing, when the underlying distribution is symmetric and the sample size (n) is 20, one need not verify that the underlying population is approximately normally distributed. True False Question 10 2.5 pts The pooled variance calculated as an interim step to calculating the standard error of the difference between means is less that the smaker of the two variances ) lies between the sample variances used to calculate its value O is greater than either of the sample variances Question 11 2.5 pts For one and two sample hypothesis tests concerning population proportions, the method of the computing the standard error is different from the method used when calculating confidence intervals. True False