Suppose height to the bottom of clouds is a Gaussian random variable X for which mean ax = 5000 m, and standard deviation sx = 1000m. A person bets that cloud height tomorrow will fall in the set A={2000m < Xs 4200m) while a second person bets that height will be satisfied by B= (3000m < Xs 5200m). A third person bets they are both correct. Find the probabilities that each person will win the bet.

Q: About 77​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72​% is,

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: Suppose, in this case, the random variable x defines the number of children among the give who…

Q: Workers at a large toxic cleanup project are concerned that their white blood cell counts may have…

A: a) Central Limit Theorem: The sampling distribution of sample mean follows normal distribution with…

Q: Suppose that when a transistor of a certain type is subjected to an accelerated life test, the…

A: Mean of lifetime of transistor is 20 weeks. Standard deviation of lifetime of transistor is 10…

Q: an up and coming musical artist is getting their first record produced at an independent studio.…

A: Given Information:  Mean number of vinyls per day (u) = 400  Standard deviation (s) = 12 vinyls…

Q: It is an exponential distributed random variable with an average of 45 minutes to repair a machine.…

A: Given Data: Let X represent the repair time of a machine X~ Exponential (1/45)  2 hours=120 minutes…

Q: f the probability of a new employee in a fast-food chain still being with the company at the end of…

A: Let p be the probability that a new employee still being with the company at the end of the year.…

Q: An up-and-coming musical artist is getting their first record produced at an independent studio.…

A: Given Information:  Mean count of vinyl produced each day (u) = 400 vinyls per day Standard…

Q: 3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of…

A: Given: Number of boxes (n) = 45 Population mean μ=200 Population standard deviation σ=55 Yi ~ N…

Q: The repair times of smart phones in a repair shop are independent random variables with the same…

A:

Q: Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we…

A: From the given information, n1=6 n2=12 σ1=σ2=14 pooled variance: spooled2=(n1-1)σ12+(n2-1)σ22n1+n2-2…

Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…

A: Given that.   X~N( μ , ?^2 )   μ=240     , ?=20   Z-score =( x - μ )/?

Q: find the probability for the followign problems if x~ N(70,20) andn=16.  A. P(Xmean>67)…

A: We have to find given probability..

Q: The data from the North Carolina State Center for Health Statistics (A-3) show that 14 percent of…

A: Givenp=0.14sample size(n)=10Let "x" no.of mothers who admitted to smoking during…

Q: Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the…

A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

Q: 6. Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: We can determine the parameters of the gamma distribution by using the expression of mean and…

Q: 1. Suppose the time spent by UNCC students studying for math exams per week is normally distributed…

A:

Q: It's desired to model the random variable X with a shape that rises to a peak near x=6 and whose…

A: The PMF can be found by altering and standardizing the quantity shape.

Q: the probability of a new employee in a​ fast-food chain still being with the company at the end of…

A: Given that  n=8 , p=0.7 , q=1-p=1-0.7=0.3 X~Binomial(n=8,p=0.7)

Q: X is a random variable with mean 30 and standard deviation 4. Y is a random variable with mean 50…

A: Given that. For X E(X) = 30 , Sd(X) = 4 , E(Y) = 50 , Sd(Y) = 8

Q: According to Experian, the average credit score of and American adult is 722 and the standard…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: We are picking 200 jelly beans out of a huge vat at a factory known to have 25% black jelly beans.…

A: sample size(n) =200 probability(p)=0.25 Using normal approximation to binomial we have…

Q: X is Gaussian random variable with mean 50 and standard deviation 5, what is the correct way to…

A:

Q: The time it takes me to wash the dishes is uniformlydistributed between 6 minutes and 16…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.