The number of hours a candidate studies for an actuarial exam is exponentially distributed with mean 150. Two hundred candidates are randomly selected. Approximate the probability that the total number of hours studied by these 200 candidates excoed 31,000. 0.32 0.36 0.49

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: Many electronics follow a failure rate described by an exponential probability density function…

A: Introduction: Denote X as the time to failure of the solar panel of the given make.

Q: Delivery times for shipments from a central warehouse are exponentially distributed with a mean of…

A: We have given  X~Exponential(λ=1.79) Mean= λ=1.79 Standard deviation=λ=1.79 Sample size=102

Q: The lifetimes of hydrants on the streets of New York described by using an exponential distribution…

A: Let X be the lifetimes of hydrants on the streets of New York.Given that  want to find the…

Q: The waiting time at a grocery checkout has an exponential distribution with mean of 9 minutes. What…

A:

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

A:

Q: ailure rate per hour

A: The device has an advertised failure rate of 0.01 per hour.The failure rate is constant.The…

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

A: The exponential distribution is usually used in measuring time. The density function is,…

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: Denote X as the waiting time during a meteor shower, to observe a shooting star. It is given that X…

Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…

A:

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: The time (in hours) until the next emergency arrival at a hospital follows an exponential…

A: Given: mean = 2.1 Last arrival = 3 hours back

Q: The interval between consecutive hits at a website is assumed to follow an exponential distribution…

A: We have given thatXExp()

Q: You work at the Quality Department of a photocopier manufacturer. After each over- haul, the time…

A: Introduction: Denote X as the amount of time in years between two consecutive overhauls. It is given…

Q: Researchers have shown that the number of successive days with symptoms after being diagnosed with a…

A:

Q: Find the mean/ expected value of X round to two decimal place

A: The probability distribution is:xP(x)79920.00044920.004920.012-80.9836

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225225 and the mean…

A: Given that variance = 225, mean = 590 Find the probability of a bulb lasting for at most 607?

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: We have given that  Sample sizes n1=8 ,n2 =8 xbar1 = 2.9 , xbar2=2.00 Sigma1=0.6 ,sigma2=0.8 1%…

Q: The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution…

A:

Q: What is the probability that a shower will laast for more than 3 minutes . if a shower has already…

A: Given: Length of the shower is exponentially distributed with  mean, 1θ=12

Q: The random variable X is exponentially distributed, where X represents the time it takes for a…

A: Given,A random variable X~exponential(θ=121)F(x)=P(X≤x)=1-e-xθ

Q: None

A:

Q: robability that the plant will not be inundated for a period of 5 years? [Note the mean rate of…

A: Given: Probability of inundation  = 0.020 Mean rate if flood for inundation per year  = 0.012 Mean…

Q: The number of miles that a particular car can run before its battery wears out is exponentially…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!