For a normal variable X~ N(u = 76, o = 5.5), find the probability P(X < 82.05) : P(X < 82.05) : (Round the answer to 4 decimal places)
Q: Given µ=70.5 and o=4.6 of normal distribution, find а. р(65 80) d. p(x < 65)
A: Note: according to our guidelines we can answer only first three subparts
Q: Let Z be a standard normal variate such that P(aa).
A:
Q: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the value a such…
A: According to the given information, we have P-value = 0.03 (Left tailed)
Q: Find the probability using the normal distribution: P(-2.07<z<1.66). Use The Standard Normal…
A: The probability is,
Q: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the value a such…
A: Given that Mean(µ) = 0Standard deviations (σ) = 1X ~ N (µ, σ )= N( 0,1)
Q: Given Σ(x-μ)² = 78 and N= 80, then the standard deviation, a, is approximately a) 0.994 Ob) 0.110 c)…
A: We have to find the correct choice.
Q: X shows a normal distribution with a mean of u=50 and a standard deviation of o=10. What standard z…
A: Standardization of a normal random variable x with mean μ and standard deviation σ is done by…
Q: X shows a normal distribution with a mean of µ=50 and a standard deviation of σ=10. What standard z…
A: Given data,Mean μ=50sd σ=10x=55z=?
Q: For the standard normal variable Z, find the probability P(Z>2.86)P(Z>2.86) : P(Z>2.86)=
A: Given data for the standard normal variable Z find the probability p(z>2.86)=?
Q: For the standard normal variable ZZ , find the probability P(0.07<Z<3.52)
A: We will use Excel to find the required probability based on Standard Normal distribution.
Q: Assuming that the distribution of resistance is normal, find the probability that: i. A randomly…
A: Consider the following table: The mean and standard deviation are calculated as follows:
Q: In the US, systolic blood pressure is a random variable that is normally distributed with a mean of…
A:
Q: d. Find v so that P >to.05,v) = 0.05. S/3 e. What is the distribution of 9X-X9 8 and its standard…
A: Xi~N(μ=2, σ2=42)
Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…
A: Mean = 52 Standard deviation = 13
Q: Let x be a random variable that represents micrograms of lead per liter of water (ug/L). An…
A: Given: μ=2.0σ=0.7α=1%=0.01x¯=2.55
Q: C. The time needed to repair the engine of a car is exponentially distributed with a mean time equal…
A:
Q: ind the probability using the normal distribution: P (z>2.33
A: standard normal distribution Z~N(0,1) P(z>2.33) = ?
Q: tandard normal variable Z, find the probability P(Z>−0.34)P(Z>-0.34) : P(Z>−0.34)=P(Z>-0.34)=
A: given data,stanadard normal curve X~N(0,1)μ=0σ=1we have to find out the given probability
Q: The time X (that it takes a randomly selected patient to metabolize a new drug) hasa normal…
A: Given data,μ=1.5σ=0.42
Q: For the standard normal variable Z, find the probability P(-0.71 < Z < 2.79). Round your answer to…
A: Given that:- Z~N(0,1) we have to find outp(-0.71<Z<2.79)=? method to find out:- first of all…
Q: Find the indicated probability using the standard normal distribution P(z ˂ - 2.92 0r z ˃ 2.92) =
A: We have given the statement about standard normal distribution.
Q: 34) If z is a standard normal variable, find the probability: P(-0.73<z<2.27) A) 0.4884 B) 1.54 C)…
A: given data standard normal distribution μ=0σ=1P(-0.73<z<2.27)=?
Q: For a normal variable X∼N(μ=61.1,σ=14), find the probability P(X<37) : P(X<37)= (Round the…
A:
Q: The failure time (T) of an electronic circuit board follows exponentially distribution with failure…
A:
Q: For the standard normal variable Z, find the probability P(3.58 < Z < 3.93): P(3.58< Z<3.93) =…
A: In question, Given that Z is a standard normal variable, then We'll find P(3.58 < Z < 3.93).…
Q: The mean is µ = 15.2 and the standard deviation is o = 0.9. Find the probability that X is greater…
A:
Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a and…
A: Answer Given,The mean = 0The standard deviation = 1
Q: For the standard normal variable Z , find the probability P(Z<−2.59) : P(Z<−2.59) = (Round…
A: Given: For the standard normal variable Z , find the probability P(Z<−2.59) : Z-score is a…
Q: Stuck on C for the following homework problem: Intro to Statistics using Openstax Introductory…
A: GivenMean(μ)=25000standard deviation(σ)=14700
Q: Find the probability using the normal distribution: P(1.55<z<1.67)
A: Z be a standard normal random variable. then Z ~ N(0,1)
Q: Let z be a random variable with a standard normal distribution. Find P(–1.12 ≤ z ≤ 2.58). Use 4…
A: Given, let z be a random variable with standard normal distribution Find P(-1.12≤z≤2.58)
Q: Find the probability using the normal distribution: P>z−1.28 . Use The Standard Normal…
A: Mean = 0 sigma =1 z-score = -1.28
Q: For a chi-squared distribution, find (a) x²o.02s when v = 15; (b) x²o01 when v = 7; (c) x³o.0s when…
A:
Q: Compute the test statistic. t=enter your response here (Round to two decimal places as needed.)
A: According to the given information in this question We need to find the value of the test statistic
Q: In a normal distribution with μ 250 and o = 20 find the percentile rank of the following data…
A: Mean=250Standard deviation=20
Q: Find the probability using the normal distribution: P(−2.29<z<0)
A: standard normal distribution Z~N(0,1) μ= 0σ = 1 P(-2.29<Z<0) = ?
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: The population of IQ scores forms a normal distribution with a mean of u=100 and a standard…
A: a) It is given that the mean is 100, the standard deviation is 15 and the sample size is 9.
Q: the standard normal variable Z, find the probability P(Z>0.62)P(Z>0.62) : Round your answer to at…
A: P(Z>0.62) =?
Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…
A:
Q: 19) If z is a standard normal variable, find the probability that z lies between -2.41 and 0. A)…
A: given data standard normal distribution Z~N(0,1) P(-2.41<z<0) = ?
Q: The variable Z is normally distributed with mean 0 and standard deviation 1. Find the value a such…
A:
Q: For a normal variable X∼N(μ=46.8,σ=6), find the probability P(X>34.2) : P(X>34.2)=
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- A joint density function of the continuous random variables x and y is a function f(x, y) satisfying the following properties. a. f(x, y) 2 0 for all (x, y) 00 Б. f(x, y) dA = 1 -00 с. P[(x, у) € R] - f(x, y) dA Show that the function is a joint density function and find the required probability. Osxs 2, 0 sysv? f(x, y) = 0, elsewhere P(0 s xs 1, 0 sys 1)Assume that the probability of a being born with Genetic Condition B is π=π=14/15. A study looks at a random sample of 173 volunteers.Find the most likely number of the 173 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let XX represent the number of volunteers (out of 173) who have Genetic Condition B. Find the standard deviation for the probability distribution of XX. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers. ? Round your answer to one decimal place.usual values =For the standard normal variable Z, find the probability P(Z < − 3.71): P(Z < - 3.71) = Submit Question (Round the answer to 4 decimal places)
- Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. d)Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) =__ male firefighters What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that…A random variable x is best described by a normal distribution with μ = 30 and o =10. Find the z-score that corresponds to the value x = 35. A) 5 B) 0.5 C) 1/6 D) 3.5The weight of a green forest frog has a normal distribution with mean 150.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs: i. Less than 153g ii. Between 150 g and 158 g
- A Normal distribution has mean =28 and a standard deviation =5. A) find the z score corresponding to x =23. B) find the z score corresponding to x =39 C) find the raw score corresponding to z = -2 D) find the raw score corresponding to z = 1.7For the standard normal variable Z, find the probability P ( Z > 2.56 ) : P ( Z > 2.56 ) = (Round the answer to 4 decimal places)For the standard normal variable Z, find the probability P(Z>1.07)P(Z>1.07) : P(Z>1.07)=P(Z>1.07)= (Round the answer to 4 decimal places)
- Assume that the probability of a being born with Genetic Condition B is p=17/60. A study looks at a random sample of 1146 volunteers. 4 Find the most likely number of the 1146 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 1146) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value p+20. Enter answer as an interval using square-brackets only with whole numbers. usual values= Question Help: Submit Question Jump to Answer Written Example Message instructor 44°F Clear W S 3 E D 4 Q Search R LL T V G Y 00 H JFind the probability using the normal distribution: P(>-0.11). Use The Standard Normal Distribution Table and enter the answer to 4 decimal places. P(2>-0.11)-For the standard normal variable ZZ, find the probability P(1.3<Z<2.12)P(1.3<Z<2.12) : Round your answer to three decimal places. P(1.3<Z<2.12)?
