2. Ships dock at a bay at an average rate of 180 per hour. a. What is the probability that no ship docks in a minute? b. Calculate the expected number of docking in 10 minutes
Q: The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen…
A: Form the given information, it is clear that, The Waiting time μ is 60. Average of the arrival…
Q: b. Perform the calculations to find the expected number of individuals who plead guilty and are sent…
A: The formula to find the Expected frequency is,
Q: An average of 50 students arrive at the university each 30 minutes. What is the probability that 95…
A: Givenon average 50 students arrive at the university each 30 mintuesfor 30 minutes = 50 students for…
Q: Suppase that, on average, 1 out of 4 customers prefer to bring their own bags to a grocery store.…
A:
Q: C. The probability that the the child will be older than 5 years old? | 0.8681 d. The probability…
A: Consider that the answer of the given part a, b, and c are the correct answer. And distribution is…
Q: A biased die is rolled 5 times. The probability of rolling a 6 is 0.3. Calculate the probability of…
A: The scenario above would satisfy all conditions of binomial distributions:• Fixed number of trials…
Q: Find the expected value of the number on a die when thrown.
A:
Q: h) A factory is producing components, of which 1.9 % are defective. They are packed in boxes, each…
A: Given thatprobability that component is defective p = 1.9% = 0.019n = 15X ~Binomial(n, p) X ~…
Q: 2. A standard six-faced die is rolled ten times in succession. Assuming the die is fair determine:…
A: A standard six-faced die is rolled ten times in succession.The die is fair n=10, p=16Let p be the…
Q: Hospitals typIcally require backup generators that power is available if one of them fails during a…
A:
Q: Assume that private preschool costs in the city are normally distributed. The average amount that…
A: We are given that,
Q: The average number of defects on a rubber band is 0.35 per meter. a. What is the probability that a…
A:
Q: A fair die is rolled seven times. Calculate the probability of obtaining exactly two 3s.
A: here given , fair die is rolled 7 times n= 7 here for fair die , possible Outcomes 1,2,3,4,5,6…
Q: Please determine the probability that a number less than six (6) will be rolled when rolling a die.
A: Given a die is rolled once
Q: Approximately 42% of people who purchased beer bought it specifically for consumption during a…
A: From the given information we find the probability that no more than two people brought two beer .
Q: A die is rolled 9 times. Find the probability of rolling no more than 3 fives. The probability of…
A:
Q: Answer the Following Question Probability of rolling an odd number when a die is tossed.
A: When a die is rolled the sample space is S={1,2,3,4,5,6} Let E be event that number is odd.…
Q: A fair die is rolled four times. Calculate the pr
A: Given data: The numbers of dice rolled are n=4. The probability of getting a four one a die rolled…
Q: A die is rolled twice. What is the probability of showing a five on the first roll and an even…
A: Given, A die is rolled twice. we know that a die has six faces so, total number of possible…
Q: 4. Toss a coin 100 times, find the probability that a Head will appear at most 43 times?
A: Given Let define a random variable X as, X: The number of times Head appears in experiment of…
Q: The mean number of defective units in a large assembly line is 4.3 units per day . Find the…
A: It is given that, The mean number of defective units in a large assembly line is 4.3 units per day.…
Q: A computer salesman averages 1.9 sales per week. Find the probability that in a randomly selected…
A: The number of events occurred over a interval or period of time follows a discrete distribution.…
Q: You randomly shoot a dart onto a 2ft x 3ft size rectangular board. Assume that you never shoot…
A: Geometric Probability: Geometric probability is a method to deal with the problem of infinite…
Q: A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The…
A: Given that information A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in…
Q: The concentration of particles in a suspension is 35 per mL. a. What is the probability that a 2mL…
A:
Q: he average number of defects on a rubber band is 0.35 per meter. a. What is the probability that a…
A: Given that, The average number of defects on a rubber band is 0.35 per meter. X~Poi (0.35)
Q: What is the probability that 5 particles enter the counter in any given millisecond?
A: Let X denote the number of particles passing through a counter in 1 millisecond.
Q: Customers enter a department store at random at an average rate of six per minute. Determine the…
A:
Q: Between the hours of 2 and 4 p.m. the average number of phone calls per minute coming into the…
A:
Q: A coin is tossed 14 times. What is the probability of getting heads exactly one time? Round your…
A: a coin is tossed 14 timesProbability of getting heads when a coin is tossed(p)==0.5sample…
Q: A coin is tossed 13 times. What is the probability of getting heads exactly one time? Round your…
A: Given,tossed = 13 times.Total number of outcomes:2^n = 2^13 = 8192
Q: A platter contains 48 doughnuts: 26 cake, 13 glazed, and nine jelly-filled. Suppose two doughnuts…
A: Since we are selecting in succession, so the order matters. We will use the permutation method. We…
Q: A packet with a length of 10000 bit has be received in a computer network. If the network error rate…
A:
Q: nswer the Following Question Probability of rolling an off number when a die is tossed
A:
Q: . 20 people will arrive at a 15-minute period. b. A maximum of 175 people will arrive at a 2-hour…
A: During peak hours, the arrival of customers at a fast food restaurant is random with an average rate…
Q: 2.Sonic Technology sells a mobile phone at an average rate of 1 per day. Estimate the probability…
A: It is given that Sonic Technology sells a mobile phone at an average rate of 1 per day.
Q: die is rolled 11 times. Find the
A: A die is rolled 11 times.
Step by step
Solved in 3 steps
- Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 41% 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. ww. 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. OA. Yes, because both generators fail about % of the time they are needed, which is low enough to not impact the health of patients. (Round…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.)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…
- Suppose that in a certain country, the literacy rate is 86%. If 10 people are selected at random, find the probability that eight are literate. (Enter a number. Round your answer to two decimal places.)The police have estimated that there are twelve major accidents per day on a particular 10-mile stretch of a national highway. Suppose the incidence of accidents is evenly distributed on this 10-mile stretch of the highway. a. Find the probability that there will be fewer than eight major accidents in this 10-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. Find the probability that there will be more than two accidents in a 1-mile stretch of this highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) ProbabilityB) What is the probability that daily production is more than 27.3 liters?
- A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? LThe probability that a certain type of sea turtle hatching survives until adulthood is assumed to be 1 out of 1,877. If 980 hatchlings incubate in a certain nesting area, calculate the probability that at least 3 survive to adulthood. Use three decimal place accuracy.A standard die is rolled. Find the probability that the number rolled is greater than 6.
