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(iii) R3 = {(2,x), (4,y), (6,z)}
(ii) R2 = {(4,y), (y,4)}
(i) R1 = {(2,x), (y,4), (6,z)}
many of their staff were quarantined following exposure to COVID-19 patients. The
number x of medical staff entering the hospitals treating COVID-19 patients on any
week has a Poisson probability distribution with average equal to 5 staff per week.
(a) What is the probability that the number of staff entering the hospital on a particular
week is two
(b) Is it likely that x will exceed 10? Substantiate your answer.
positive test result is supposed to mean that you have CORONA(but the test is not
perfect).For people with CORONA, the test misses the diagnosis by 2% of the times and
for the people without CORONA, the test incorrectly tells 3% of them that they have
CORONA. What is the probability that you have CORONA, given that your test comes
back positive?
mean of 25.5km/ kg and a standard deviation of 4.5km/g. To get a competitive edge, a
manufacturer wishes to develop a Sedan car that outperforms 95% of the existing sedan
in fuel economy, what must be the CNG use rate for the new car be ?
men of age 20 years or older having five or more wearable jeans along with the fraction
of the Indian population of these age groups. Find the unconditional probability of an
adult 20 years or older having five or more wearable jeans.
Groups & Ages
20-24 25-34 35-49 50-64 above 65
Fraction with 5 or more jeans .26 .20 .13 .18 .14
Fraction adults 20 or older .09 .20 .31 .23 .17
An IT employee in Noida frequents one of the two restaurants KARIM or NAZEER, choosing Chicken's item 70% of the time and fish's item 30% of the time. Regardless of where he goes, he orders Afghani Chicken 60% of his visits.
a) The next time he goes into a a restaurants, what is the probability that he goes to KARIM and orders Afghani chicken.
b) Are the two events in part a independent? Explain.
c) If he goes into restaurants and orders Afghani chicken, what is the probability that he is at NAZEER.
d) what is the probability that he goes TO KARIM or orders Afghani chicken or both?
If the population variance is 4, then the population standard deviation must be?
(1) 4:
(2) 16:
(3) 2:
(4) 0:
(5) 12
the NHTSA crash test data for new cars. One of the variables saved in the accompanying file is the severity of a driver's head injury when the car is in a head-on collision with a fixed barrier while traveling at 35 miles per hour. The more points assigned to the head-injury rating, the more severe the injury. The head-injury ratings can be shown to be approximately normally distributed with a mean of 605 points and a standard deviation of 185 points. One of the crash-tested cars is randomly selected from the data, and the driver's head-injury rating is observed. a. Find the probability that the rating will fall between 500 and 700 points. b. Find the probability that the rating will fall between 400 and 500 points. c. Find the probability that the rating will be less than 850 points. d. Find the probability that the rating will exceed 1,000 points. e. Find the 10th percentile. f. Find the 95th percentile. Please do it step by step
#339914 on Dec 2023