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- Suppose that the flight time from Chicago O'Hare International Airport to Hartsfield- Jackson Atlanta International Airport follows a uniform distribution with lower and upper bounds of 120 and 140 minutes, respectively. a) Suppose that Luke flies with Spirit Airlines, which posts a flight time of 2 hours and 5 minutes (that is, 125 minutes) for this route. What is the chance that his flight will be at most 5 minutes late? Hint: what is P(X < 130)? b) Let the flight duration be a random variable. Find the expected value and standard deviation of this variable.It is believed that the percent of female STEM majors at a particular college Is 29%. a)Say we select 15 random females from this college. Is this sample “large enough” to use the Central Limit Theorem for proportions? Use the conditions18) Of 200 andomly selected adults, 17 were found to have high blood presu Commctas confidence interval for the tnie percentage of all adults that have hgh blood presue A) 0.085 0.020 H) 0.850 0016 0.850 t 0.039 D) 0085 0.032
- One fifth percent of the blades produced by a blade manufacturing factory turnout to be defective. The blades are supplied in packets of 10. Use Poisson distribution to calculate the approximate number of packets containing i) no defective blade ii) one defective blade in a consignment of 10000.An experimenter testing for extrasensory perception has three cards with pictures of a (s)tar, a (c)ircle, and (w)iggly lines. She selects two cards without replacement. Outcomes in the sample space are represented by pairs such as (w,s) and (s,c). Complete parts (a) through (d) below. ..... (a) How many elements are in this sample space? |(Type a whole number.) (b) Express the event "wiggly lines appears on one of the cards" as a set. Choose the correct answer below. O A. {w} O B. {w,s,c} C. {(w,s),(w,c).(s,w),(c,w)} O D. {(w,s),(w,c)} (c) What is the probability that wiggly lines appears on one of the cards? (Type an integer or a simplified fraction.) (d) What is the probability that a circle does not appear? | |(Type an integer or a simplified fraction.)5) Assume that both arrival and service rate following Poisson distribution. The arrival rate and service rate are 17 and 19 customers/hour respectively, at a single window in RTC reservation counter. Find i) p
- A pump operates 1000 hours/year. Under a minimal repair concept, the pump failures generated a non-homogenous Poisson process having the following intensity function with t measured in operating hours. Row(t)=0.00003t^2. a) From the information given, is the rate of occurance of failure (ROCOF) increasing, decreasing or remaining constant? b) Calculate the number of expected failures of the pump over 1000 hours of operation. c) Calculate the MTBF for the 1000-hour operation. d) The repair time of the pump is best described by the following probability density function h(t)=t^2/3 for 0<_t<_3 hours. WHat is the mean time of repair, in hours? e)What is the inherent availability of the pump over the 1000 hours?Show that in a sample space with n points, there are exactly 2^n - 1 events containing at least one pointQ4// In how many different ways can eleven cakes be distributed among three kids such that each kid gets not less than two cakes and not more than four cakes?
- Prove that An Singelton seł normalizer caual. Set to centralizerEht///55BJPRC4rQHWKawiv2z PlohPZXNnCn4sJc6i79t9nMQ/edit $ scholarships Request 1) Marketing: Income What is the income distribution of super shoppers. In the following table, income units are given in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars Income 5-15 15-25 25-35 35-45 45-55 55 and range more Midpoint, x 10 20 30 40 50 60 Percent of 21% 14% 22% 15% 20% 8% super shoppers a) Using the income midpoints, x and the percentage of super shoppers, do we have a valid probability distribution? Explain. b) Use a histogram to graph the probability distribution of part (a) c) Compute the expected incomepu of a super shopper. d) Compute the standard deviation o for the income of super shoppers. 2)The director of a health club conducted a survey and found that 23% of members used only the pool for workouts. Based on this information, what is the probability that, for a random sample of 10…In how many ways can 3students be selected fromagroup of 12 students torepresent a university inthe inter universitysports competition?