For lambda = 3.4, the probability P(x > 7) is: %3D O 0.9421 O 0.0231 O 0.0579 O 0.0348
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- b. Use the fact that the total probability is equal to 1 to create a formulafor P(X = 3) in terms of P(X = 4).The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.1 times every two hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open. What is λ? (Use 2 decimal places.)(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Use 4 decimal places.)(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Use 4 decimal places.)The probability of a false positive test result is 0.168 (Round to three decimal places as needed.) Who would suffer from a false positive result? Why? O A. The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs. O B. The employer would suffer because the person tested would be suspected of using drugs when in reality he or she does not use drugs. O C. The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs. O D. The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs.
- For X ∼Bin(28561, 25/169 ), approximate the probability P (4105 ≤ X ≤ 4225)1) Assuming 6 degrees of freedom, find the following probability. P(T > 1.7) = 2) Assuming 16 degrees of freedom, find the following probability. P(T < – 2.024) =Use the tables provided to give your best estimate to the 6. probabilities: а. Р(Z> 1.9) b. P(ti, >1.9) c. P(Xs > 42.1) d. P(F,14 >1.8)
- Suppose a coin with Pr[H]=4/5Pr[H]=4/5 is flipped 4 times. Answer the following questions: 1. What is the probability exactly 2 heads were flipped? 2. What is the probability that heads then tails then heads then tails was flipped?An unfair coin with Pr[H] =0.4 is flipped. If the flip results in a head, a marble is selected at random from a urn containing two red and eight blue marbles. Otherwise, a marble is selected from a different urn containing five red and three blue marbles. If the selected marble selected is red, what is the probability that the flip resulted in a head?The mean percent of childhood asthma prevalence in 43 cities is 2.39%. A random sample of 33 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o = 1.31%. The probability is (Round to four decimal places as needed.) 4
- İf X follows the Poisson probability law such that P (xr 1) = P (x = 2). then ind the probability of 4 successes.an unfair coin with Pr[H]=0.85 is flipped. If the flip results in a head, one student is selected at random from a class of 4 girls and 6 boys. If the flip results in a tail, one student is selected from a different class containing 7 girls and 3 boys. Find the probability that the flip resulted in heads given that a boy was selected.If Z is approximately N(0,1), the probability, after "Z lies in" between -1.50 and 2.37, is:
