.A contractor builds four-unit apartment with construction time follows a normal distribution. Suppose that u=100 days and o=20 days. What is the probability of completing within 110 and 125 days? * 0.20289 0.69146 O 0.89435 0.15565
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- Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 44% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed.(Round to four decimal places as needed.)If a seed is planted, it has a 55% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 55 seeds are planted. a. What is the distribution of X?X - ? ✓ Please show the following answers to 4 decimal places. b. What is the probability that exactly 30 seeds grow into healthy plants? c. What is the probability that at most 30 seeds grow into healthy plants? d. What is the probability that more than 30 seeds grow into healthy plants? e. What is the probability that between 25 and 32 (including 25 and 32) seeds grow into healthy plants?A basketball player makes each free throw with probability 3/5. Find mean and standard deviation for number of successes in 20 tries
- Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 42% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needs, the reliability should…ion 16.84. An urn contains 3 one-rupee coins, 5 fifty paise coins and 12 ten-paise coins. If a coin is drawn at random, find the expected value of the draw, assuming that all coins are equally likely.Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 21% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. |(Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. Yes, because both generators fail about % of the time they are needed, which is low enough to not impact the health of patients. (Round…
- The annual rainfall (in inches) in a certain region is normally distributed with u = 24 and o O A. 0.117 4.2. What is the probability that the rainfall exceeds 29 inches in a given year? O B. 0.025 O C. 0.063 D. 0.125Cars arrive randomly at a tollbooth at a rate of 23 cars per 20 minutes during rush hour. What is the probability that more than seven cars will arrive over a five-minute interval during rush hour? Multiple Cholce 0.3536 0.2224 0.1312 0.7776The probability of a bolt being faulty is 0.3. Find the probability that in a random sample of 20 bolts there are exactly 2 faulty bolts. 0.0278 0.0746 0.1304 0.1244
- 14. QUESTION: Consider the following experiment. You draw a square, of width 1 foot, on the floor. Inside the square, you inscribe a circle of diameter 1 foot. The circle will just fit inside the square. You then throw a dart at the square in such a way that it is equally likely to fall on any point of the square. What is the probability that the dart falls inside the circle? (Think about area!) How might this process be used to estimate the value of r?The number of hits on a website follows a Poisson process with a rate of 3 per minute. The probability that more than a minute goes by without a hit is 0.0498. If 2 minutes have gone by without a hit, what is the probability that a hit will occur in the next minute? O 0.9502 O 0.3004 O 0.0996 O 0.7410A project has an expected completion time of 60 weeks and a standard deviation of 5 weeks. What is the probability that the project is finished in more than 70 weeks? A. 0.98 B. 0.50 C. 0.48 D. 0.02
