Find the following probabilities. (Round all answers to four decimal places.) (a) p( -0.83 < z < 1.81 ) (b) p( -2.12 < z < -1.06 ) (c) p( z < 1.52 )
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Find the following probabilities. (Round all answers to four decimal places.)
(b) p( -2.12 < z < -1.06 )
(c) p( z < 1.52 )
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- ((NINETEEN)) (d) Find the p-value. (Round to three or more decimal places.)(e) Is there enough evidence to support the marriage counselor's claim that theproportion of married couples for whom her program can prevent divorce ismore than 75%?O Yes O NoConsider the following function for a value of k.f(x) ={3kx/7, 0 ≤ x ≤ 1 3k(5 − x)/7 , 1 ≤ x ≤ 30, otherwise.Comment on the output of these probabilities below, what will be theconclusion of your output.(i)Evaluate k.(ii)find (a) p(1 ≤ x ≤ 2) (b) p(x > 2). (u) p(x ≤ 8/3).The manager of a resort hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim. (a) Which form of the hypotheses should be used to test the manager's claim? Explain. Ho: u 2 600 HaiH 600 Но: и 3D 600 Ha: u + 600 The hypotheses Ho: µ 2 600 and H: µ 600 should be used because the accountant wants to test the manager's claim that the mean guest bill u is less than or equal to 600 and find evidence to support u > 600. The hypotheses Ho: u = 600 and H: µ + 600 should be used because the accountant wants to test the manager's claim that the mean guest bill u is equal to 600 and find evidence to support u + 600. (b) What conclusion is appropriate when H. cannot be rejected? We are not able to conclude that the manager's claim is wrong. We cannot conclude that u >…
- T15 Suppose that 90% of drivers are "careful" and 10% are "reckless." Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver the probability is 0.4. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 12 If we add $45 to each value in the profit/loss column above, the new variance of profit will be, a 12,169 b 11,741 c 11,696 d 11,467For a recent evening at a small, old-fashioned movie theater, 30% of the moviegoers were female and 70% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 85% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: 65% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let r denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses.
- 32The probability of flu symptoms for a person not receiving any treatment is 0.051. In a clinical trial of a common drug used to lower cholesterol, 56 of 1041 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 56 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug? (a) P(X 256)= (Round to four decimal places as needed.) n example 6 Get more help. M C Oll 2000 16 & 7 O * 8 Clear all ( 9 Check answer 0For Discrete Math
- P(X < 4), n = 6, p = 0.7Suppose the following information is known P[A] = 0.8, P[B] = 0.5, P[A and B] = 0.40. The values for P[B|A] and P[A|B] are respectively: (a) It cannot be determined. (b) 0.65, 0.75 (c) 0.65, 0.70 (d) 0.50, 0.80 (e) 0.50, 0.75We are interested in the probabilities of finding r illiterate people, when r = 0, 1, 2, 3, 4, 5 and 6. Use this table to create a table of r values and the corresponding P(r) values when n = 6 and p = 0.2. (Round your answers to three decimal places.) P(r) 0.262 0.246 3 4 0.015 0.000
