On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.               x 25 50 75 100 Total P(x) .16 .32 .21 .31 1.00   (a) Find the probability expressions: (Round your answers to 2 decimal places.)         a. P(X = 100)   b. P(X ≤ 75)   c. P(X > 50)   d. P(X < 100)

At a certain University, the chance of a student receiving financial aid is 87%. 15 students are randomly and independently chosen. Use R/Rcmdr to find the probability that at most 12 of them are receiving financial aid. ROUND YOUR FINAL ANSWER TO 3 DECIMALS. Choose the most correct (closest) answer below? a.0.6916319 b.0.1204051 c.0.1879631 d.0.3083681

use each described binomial probability distribution to calculate the cumulative probability requested. The probability of a high school student in America wearing jeans to school on a particular day is 40%. Leon stood by the doorway of his classroom and recorded whether the next 10 students who entered the classroom were wearing jeans.

The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 30 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.8%? Interpret this probability. Assume that o = 1.25%. The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. About % of samples of 43 cities will have a mean childhood asthma prevalence greater than 2.8%. O B. About % of samples of 30 cities will have a mean childhood asthma prevalence greater than 2.38%. O C. About % of samples of 30 cities will have a mean childhood asthma prevalence greater than 2.8%. Click to select your answer(s). P Type here to search 99+ a (? 1:42 PM 4/11/2021 ho insen 144 ese & t backspace %23 3. %24 4 6. 8 2. Y W tab H. J. K pase 5 R

You host a house party with 4 guests attending. Every guest gets a chance to win a gift by spinning a wheel with 1/3 of a chance of stopping at the winning spot. If you prepare 2 gifts to give away, what is the probability of you being embarrassed for running short of gifts (i.e, there are more winners than the number of gifts). Round your answer to two decimal places (for example: 0.12)

Calculate the probability from the z-table. a. ?(? > −0.45) b. ?( ? < 2.10) c. ?(0 < ? < 2.10) d. ?(−0.45 < ? < 2.10)