Determine the number of probabilities of getting exactly 4 fives when a certain die is tossed 8 times. b. The probability that you will pass Differential Equation is 0.3. If you have 5 friends in your circle including you, what is the probability that at most 2 are accepted
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UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. ANSWER IN 4 DECIMAL PLACES.
Determine the following:
a. Determine the number of probabilities of getting exactly 4 fives when a certain die is tossed 8 times.
b. The probability that you will pass Differential Equation is 0.3. If you have 5 friends in your circle including you, what is the probability that at most 2 are accepted?
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- If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0.7, what is the probability that out of 8 newly hired people (A) 5 will still be with the company after 1 year? (B) 5 or more will still be with the company after 1 year? Round each of the calculations to three decimal places when going through the solution process.Suppose you play a coin toss game in which you win $1 if a head appears and lose $1 if a tail appears. In the first 100 coin tosses, heads comes up 39 times and tails comes up 61 times. you toss the coin 200 more times (a total of 300 tosses), and at that point heads has come up 40% of the time. Is this change in the percentage of heads consistent with the law of large numbers? Explain. How many heads would you need in the next 100 tosses in order to break even after 400 tosses? Is this likely to occur? Select the correct choice and fill in the answer box to complete your choice.Imagine a population evolving by genetic drift, in which the frequency of allele K is 0.6. What is the probability that at some point in the future allele K will drift to a frequency of 1.0? Express your answer as a number between 0 and 1.
- The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes. 1- Verify if one important assumption of the model should be questioned. Explain why.The CDC estimates that a non-infected person has a 10% chance of contracting mumps from an infected person from even a brief encounter. What is the probability that a non-infected person contracts mumps after 7 brief encounters with infected people? I tried to solve it like this (1-0.1)^7*.1 which is equal to 0.04782969 but it is not correctAn exam in Microeconomics has 40 multiple answer questions and each of them has 4 possible answers, but only one of them is correct. For every correctly answered question a student gets 15 points and for every incorrectly answered she loses 5 points. What is the probability of passing the exam (the minimum required is 120 points) if a student is randomly picking the answers? (hint: you may use a normal approximation)
- In tosses of a fair coin 3 times, how many tails would you expect to get? (Please show the calculations)When you are asked to calculate the probability that something is going to occur in the future (poisson), what equation do you use?State the null and alternative hypotheses. We want to test if the most popular brand of soda contains 355ml. We want to test if the average recovery time for knee surgery patients is 8.2 weeks when exposed to a thorough exercise program.
- The power of a study is 1 minus beta equal the probability that a researcher will reject H0 when H0 is false. True False1. Per the CDC article, men have higher blood pressure than women. Is this also true for this wholesale distribution center population? Use 0.05. Determine whether your (NEW) sample provides statistical evidence that this company’s population of adults has men with a higher blood pressure than women. Set alpha at 0.05 just focus on the Systolic number.On the way to school, a student encounters a traffic light on Main Street. The student estimates that she will get stopped on 23% of school days. During a 5-day school week, what is the probability that she: (Round to 4 decimal places when necessary.) (a) gets stopped for the first time on Wednesday? (b) gets stopped at least once during the week? (c) gets stopped everyday? (d) gets stopped on Monday, Tuesday and Wednesday?