We know that Jenny has a 70% chance to be active in 2020, and the yearly retention rate is 90% (i.e., the likelihood of being active in the next year, given that a customer is active in a particular year is 90% ). What is th likelihood that Jenny will still be active in 2022 (choose the closest number)?
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- Question 7. [5] Vodacom, uses a large number of common batteries in one of its most popular lines of phones. After testing a large number of them, they found that the average time to failure is 1/2, 8000 hours. a) What is the probability that a component will fail within 1500 hours? b. What is the probability that a component will fail after 8800 hours?question 6True or False? Assume the below life table was constructed from following individuals who were diagnosed with slow-progressing form of prostate cancer and decided not to receive treatment of any form. The calculated survival probability for year 3, if the Kaplan-Meir approach is used to calculate the survival probability, is approximately 0.85. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability0 20 11 20 3 2 17 1 3 16 2 1
- QUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.As the number of cars a person owns increases, so does the life expectancy of the person. What is the most likely explanation? Wealth is the common underlying cause Having more cars causes people to live longer. It is a coincidence.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
- 1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.Question 11 < After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only two women among the last 20 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting two or fewer women when 20 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). P(at most two) = Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). With this in mind, does the resulting probability really support such a charge? Oyes, this supports a charge of gender discrimination Ono, this does not support a charge of gender discrimination Question Help: Video Submit Question SC K 54 c #3 3 72 % 25 6It is known to show an exponential distribution where the average lifespan of a type of CPU is ten years. What is the probability that the company that leases the server for ten years will encounter a central processing unit failure within the period of use?
- Question 1 According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 20%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 43%. Finally, they list that probability of both happening in the next month is 13%. What is the probability that Elon Musk will offer you a free trip into space in the next month? Round to two decimal places as needed.section 5.3 Out of 413 applicants for a job, 127 have over 10 years of experience and 51 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary. Step 2 of 2: Consider that 83 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 yrs of experience, given that the applicant has a graduate degree? round to 4 decimal places(Please do not give solution in image format thanku)