According to the historical data, 73.2% of the 20-year-olds live until 65 years old. A random sample of si 46 was obtained. Let be the proportion of the sample that live until 65 years old. 1. Use the Central Limit Theorem (np>10 and n(1-p)>10✔) to describe the probability distributi of p and state its parameters and : (Round the answers to 4 decimal places) PN = 0.7✓ 0,0₁ = 0.0 X 2. Find the probability that between 80% and 92% of the sample live until 65 years old. (Round the answer to 4 decimal places) of p

Q: Today, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives…

A:

Q: A die is loaded so that the probability of throwing the number is proportional to i. Find the…

A: Given that: Probability of throwing the number is proportional to i.

Q: A company has developed an "easystart" mower that cranks the engine with the push of a button. The…

A: The given sample size is 30, the probability that mower will start on any push of the button is 0.9.

Q: Use R to illustrate the WLLN (weak law of large numbers): draw a random sample from the exponential,…

A: WLLN:  WLLN says that as we increased the sample size of the sample collected from specified…

Q: For a Chi-squared distribution, find  α  such that P(19.68 < χ211 <  χ211, α )=0.04.

A:

Q: A poll found that 35​% of adults do not work at all while on summer vacation. In a random sample of…

A: According to the given information, we have Probability, p = 35% = 0.35 Sample size, n = 9

Q: If T is the event that a convict committed theft and B is the event that the convict committed…

A: Given, T = Event that a convict committed theft B = Event that a convict committed Burglary TI =…

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: For a Chi-squared distribution, find  χ211, α  such that P(19.68 < χ211 <  χ211, α )=0.04. Round…

A: To find X11,α2 such that P ( 19.68 &lt;  X112 &lt; X11,α2 ) = 0.04 Since df = 11

Q: Suppose the service time, in minutes, at a bank has the Exponential distribution with 2 = 1/2.…

A:

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 676 drivers were…

A:

Q: Historically, the SAT score is normally distributed with a mean of 1483 points and a standard…

A: Given are the parameters:μ=1483,σ=348.7 1.) The following notation is used to describe the…

Q: Suppose that f (x) = (3/2)x2 for −1< x < 1. Determine the mean and standard deviation of X.

A:

Q: The mean is µ = 15.2 and the standard deviation is o = 0.9. Find the probability that X is greater…

A:

Q: a normal distribution with mu = 12 and o = 3 . Find the probability that an x value selected at…

A: X is having normal distribution with µ=12 and σ=3 X~N(µ=12 and σ2 =32)

Q: For a certain year, the average annual salary in Pennsylvania was $25,000. Assume that the salaries…

A:

Q: Use the given information to find the indicated probability. P(A) = 0.70. Find P(A'). P(A') =

A: Given P(A)=0.70

Q: Suppose one randomly chooses a values X on the interval (0, 2), and then random choosing a second…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and a…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Find P(-1.85 < z < 2.91) Using the Normal table and give answer using 4 decimal places.

A: P(-1.85 &lt; z &lt; 2.91)

Q: Let x be a continuous random variable that is normally distributed with a mean of 23 and a standard…

A:

Q: Let X be a random variable with mean 4 and standard deviation o. What is E[X2]?

A:

Q: 1. Let X be the mean of a random sample of size n = 64 from the exponential distribution e-¹/2, 1>0…

A: The defined X¯ is the sample mean with sample size of n=64. It is given that the variable is…

Q: a. b. Let X have a gamma distribution with a=2 and 3-2. What is P(X>2)? Let X have a log-normal…

A: