3. x<-10 F(x)= 0.25 -10 sx< 30 0.75 30
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Solve the following Discrete
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x<-10
F(x)=
0.25
-10 sx< 30
0.75
30 <x< 50
1
50 <x
(a) P(X< 50)
(b) P(X s 40)
(c) P(X < 0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f72e4e3-de15-4261-bde6-8697b6e11698%2F5288575c-0f75-46cd-9945-cda3087251f6%2Fbjocoh_processed.png&w=3840&q=75)
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- A survey of all medium and large-sized corporations showed that 63% of them offer retirement plans to their employees. Let p be the proportion in a random sample of 50 such corporations that offer retirement plans to their employees. Find the probability that the value of will be between 0.54 and 0.61.Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.Suppose that you and two friends go to a restaurant, which last month filled approximately 89.1% of the orders correctly. Complete parts (a) through (e) below What is the probability that none of the three orders will be filled correctly? The probability is___.
- What is the difference between discrete and continuous probability distributions? We will solve this problem with Excel Using BINOMDIST. Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease. You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc. You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease? What is the likelihood of this outcome? Use the formula for the corresponding probability distribution to solve the problem. A manufacturer of television set known that on an average 5% of their product is defective. They sells television sets in consignment of 100 and guarantees that not more than 2 set will be defective. Which probability distribution is appropriate for use in the scenario? What is the value of λ? Write down the formula for the Probability Distribution. What is the probability that the…Consider a Poisson probability distribution. Determine the probability of exactly four occurrences for the following conditions.A random number generator produces sequences of independent digits, each of which is as likely to be any digit form of 0 to 9 as any other. If X denotes any single digit, find the mean or expected value of the probability distribution.
- If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x < 7) for n = 15, p = 0.8 b. P(x ≥ 13) for n = 20, p = 0.3 c. P(x = 2) for n = 25, p = 0.5Assume that 12 jurors are randomly selected from a population in which 86% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. � �(�) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0004 6 0.0028 7 0.0148 8 0.0569 9 0.1553 10 0.2863 11 0.3197 12 0.1637 Find the probability of exactly 5 Mexican-Americans among 12 jurors.�(�=5)= Find the probability of 5 or fewer Mexican-Americans among 12 jurors.�(�≤5)= Does the occurrence of 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?Decide which probability distribution-binomial, geometric, or Poisson-applies to the question. You do not need to answer the question. Given: The probability that a federal income tax return is filled out incorrectly with an error in favor of the taxpayer is 20%. Question: What is the probability that of the ten tax returns randomly selected for an audit, three returns will contain only errors favoring the taxpayer O A. geometric O B. binomial O C. Poisson Next 5:36 PM ) 耳 国 59°F Clear O Type here to search 11/23/2021 PrtSc Insert Del F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 %23 $4 & Bac 3 4 6. 8. Y
- Consider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is selected from class I, then he has 10% chance to make an A. Assume that these probabilities for the class II and III are 15% and 20% respectively. If a student is selected randomly and has an A, what is the probability that he is from class III. Enter your answer to the nearest FOUR decimal places. 0.5715According to a recent Gallup Poll, 75% of Americans report that they are better off financially today than they were a year ago. Let p be the proportion of people in a random sample of 230 Americans that say that they are better off financially today than they were a year ago. Determine the following probabilities. Round solutions to four decimal places, if necessary . Find the probability that in a random sample of 230 Americans, less than 81% say they are better off financially today than they were a year ago. P( hat p <0.81)=; = Box Find the probability that in a random sample of 230 Americans, between 71% and 75% say they are better off financially today than they were a year ago . P(0.71< hat p <0.75)=Historical records of managers of a fast food suggest that they have an average of 3 customers per hour who pay using credit card and that this average is the same for every hour of operation of the fast food. It is of interest to the managers to compute certain probabilities given these data. 1.Which of the following discrete probability distribution must managers use? 2. What is the probability that there will be exactly 4 customers paying with credit card in the next hour?
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