a) What is the height of the probability distribution? b) What is the probability that an arrow has a length less than 71.1 cm? c) What is the probability that an arrow has a length between 70.6 cm and 71.6 cm?
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- B) What is the probability that daily production is more than 27.3 liters?For a week, a clothing company tracks the amounts spent by its customers, with the results shown to the right. a) What is the probability that a randomly chosen customer spent $120 or more? b) What is the probability that a randomly chosen customer did not spend less than $80? c) What is the probability that a randomly chosen customer spent between $40 and $159.99? a) What formula should be used to find the probability that a randomly chosen customer spent $120 or more? O A. P($120 or more) = 1 - P($120 - $159.99) O B. P($120 or more) = P($120 - $159.99) O C. P($120 or more) = P($120 - $159.99) + P($160-$199.99) - P($200 or more) O D. P($120 or more) = P($120 - $159.99) + P($160 - $199.99) + P($200 or more) The probability that a randomly chosen customer spent $120 or more is (Simplify your answer.) b) What formula should be used to find the probability that a randomly chosen customer did not spend less than $80? O A. P(not less than $80)=P($80 - $119.99) O B. P(not less than $80) = 1…Please show the steps and calculation. Thank you so so much!?
- Two dies are rolled find the probability that; a) The product of the numbers of dots in the two dies is 25. b) The product of the numbers of dots in the two dies is 12. c) The product of the numbers of dots in the two dies is less than 20. d) The product of the numbers of dots in the two dies is more than 13.Please give your answer to at least 3 decimal places. It is estimated that 15% of all CIT students cycle to college. A random sampl of 6 CIT students is chosen. a) b) Calculate the probability that none of the 6 students in the sample cycle t college. Calculate the probability that at least 3 of the 6 students cycle to college.2. In Manoa Valley on the island of Oahu (Hawaii) the annual rainfall averages 43.6 inches with standard deviation 7.5 inches. A year is chosen at random, find the probability: a). the annual rainfall is more than 56 inches: b). the annual rainfall is less than 32 inches: c). the rainfall is between 35 and 50 inches:
- Assume that the average number of births in a hospital is 3 births per shift.a) What is the probability that more than one child will be born in one shift?b) What is the probability that six children will be born in two shifts?5. Instructions: Please explain & show well your work. In the final of a 100 m race there are 4 athletes from the United States out of 8 total athletes. A) Determines the probability that the best 3 (Gold, silver and bronze) come from the United States. B) Determines the probability that the exact order of the best 3 (Gold, silver and bronze) is: Gold - Fred Kerley (United States). Silver - Marvin Bracy (United States) Bronze - Trayvon Bromell (United States)Solve step by step in digital format According to records, the Liverpool call center receives an average of four calls per minute. Find the probability that each of these occurrences occurs in a one-minute interval: a) No call is receivedb) Exactly two are receivedc) At least two calls are received.d) Indicate which and why of the distribution model used.
- 2) Below is a table of the most popular fields and the count distributions of doctorates conferred to males and females in each of these fields. Subject Male Female Total Engineering 6527 1883 8410 Physical Sciences 6393 2551 8944 Life Sciences 5331 6698 12029 Social Sciences 3488 4861 8349 Education 1501 3297 4798 Humanities 2654 2847 5501 Other 1496 1425 2921 Total 27390 23562 505923. For males in a certain town, the systolic blood pressure is normally distributed with a mean of 135 and a standard deviation of 8. a) What is the probability that a randomly selected male's systolic blood pressure will be greater than 143? b) What is the probability that a randomly selected male's systolic blood pressure will be less than 119?It is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in October this year by the World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is moderate to high. Suppose the Health Science Faculty of UP is going to test the vaccine on 60 patients. Let: X = the number of children who experienced an adverse reaction. X sample proportion of children who experienced adverse reaction. 60 The distribution of X is with an expected value of and a standard deviation of Round your answer to 4 decimal places. . b) The sampling distribution of p is: (Choose all the correct choices, marks will be subtracted for incorrect choices.) approximately normal skewed to the left binary discrete binomial skewed to the right symmetric continuous normal c) Give the expected value and standard deviation of p. • Expected value, µp = Round your answer to 2 decimal…