Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability.(round your answer to four decimal places.) u=28, standard deviation=3.4 P(x is greater then or equal to 30)=

Q: P(X) 8- 0.13 4 0. i6 0.23 니 |0-48

A: Given information- We have given the probability distribution for X.

Q: The average daily sales(X) of a branch are $500 and standard deviation is $51. Assuming the…

A: Answer: From the given data, The daily sales (X) are normally distributed with mean (μ) = $ 500…

Q: ec. Find the probability that the next operation of the robogate will take 26.6 sec or less.

A: here mean = 22 sec standard deviation  = 2 sec x= processing time for the robogate

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Given  X~N(μ=3.1, standard deviations σ=0.36)

Q: An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in…

A: We have given that the random variable X that is  change in water weight are uniformly distribution…

Q: Assume the random variable X is normally distributed with mean μ =50 and standard deviation o=7.…

A: From the provided information,Mean (µ) = 50Standard deviation (σ) = 7

Q: A score of is 3 standard deviations above the mean.

A: Let , X→N(μ=140 , σ=28) Our aim is to find the score 3 standard deviation above mean

Q: The distribution of scores on a mathematics placement exam is close tonormal. Where the mean is x¯ =…

A: 68-95-99.7-rule:Let X be an observation from a normal distribution, having mean µ and standard…

Q: e. The probability that the jump's round off error is greater than 2.24 is P(x > 2.24) =

A:

Q: In the United States, the mean birth weight for boys is 3.41 kg, with a standard deviation of 0.55…

A: From the given information, the  mean birth weight for boys is 3.41 kg and the standard deviation is…

Q: A distribution of values is normal with a mean of 79.5 and a standard deviation of 7.4. Find the…

A: A distribution of values is normal Mean = 79.5 Standard deviation = 7.4

Q: For a continuous variable with normal distribution where the mean is 22.5 and the standard deviation…

A: (1) Obtain the probability that X is less than 23. The probability that X is less than 23 is…

Q: X is random variable with a normal distribution having a mean of 3 and variance of 2. Find P ( X> 4)…

A:

Q: Scores on a standardized exam are known to follow a normal distribution with a standard deviation of…

A: The width of the given interval is,

Q: Use the normal distribution of SAT critical reading scores for which the mean is 513513 and the…

A: NOTE:Since, the numbers on the values of mean and standard deviation are repeating twice (513513 and…

Q: Determine the mean and standard deviation of the variable X in the binomial distribution where n=5…

A:

Q: Find the area under the standard normal distribution represented by each probability. (Round your…

A: Given: P Z=-0.03

Q: μ-48 σ =2 μ-3σ μ. μ-σ μ+2σ μ+ 3σ μ

A:

Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: Assume that thermometer readings are normally distributed with a mean of 0  and standard deviation…

A:

Q: 5. Losses X follow a paralogistic distribution with 0 =5000 and a = 3. An insurance coverage for X…

A: Given : θ = 5000α = 3

Q: The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker…

A:

Q: The average daily sales(X) of a branch are $500 and standard deviation is $51. Assuming the…

A: It is given that  Mean, μ = 500 Standard deviation, σ = 51

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

A: (c )   Obtain the probability that the round off error for a Jumper’s distance is exactly 2.   The…

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: nd the area of the shaded region. The graph depicts the standard normal stribution with mean 0 and…

A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

Q: What is the P (11 ≤ x ≤ 13)?

A: Given a normal distribution with mean of 12 & standard deviation of 2.

Q: The time to complete an exam is approximately Normal with a mean of 48 minutes and a standard…

A:

Q: A normal distribution has mean u = 56 and standard deviation o = 20. Find and interpret the z-score…

A: X follows a Normal distribution with mean = 56 and S.D = 20 Then z=(x-mean)/SD = (x-56)/20…

Q: A decibel is a measure of intensity of sound. The average number of decibel at a concert is 130.…

A:

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 36 hours…

A: Answer: From the given data, mean(μ) = 500 standard deviation (σ) = 36 X~ Norma(500,36) at most 508…

Q: In normal distribution find the mean when the standard is 5 and 3.78% of the area lies to the left…

A: Suppose the variable of interest is x. The random variable x follows normal distribution with mean µ…

Q: Scores on a test are normally distributed with a mean of 76 and a standard deviation of 6. Using the…

A:

Q: Find the area of the shaded region. Assume the curve is a standard normal distribution with mean 0…

A: Given,mean(μ)=0standard deviation(σ)=1

Q: ind the area of the shaded region. The graph depicts the standard normal stribution with mean 0 and…

A: Z follows the standard normal distribution with a mean of zero and a standard deviation of one.

Q: The distance advanced in a day by a tunnel boring machine, in meters, is uniformly distributed on…

A: From the provided information,The distance advanced in a day by a tunnel boring machine, in meters,…

Q: Find the probability that a standard normal variable takes on a value between -1.59 and 3.0. Also…

A:

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A: Given that.   X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

Q: Find P(Z > -1.23) (Hint: We don't need to know mean and the standard deviation, since Z  scores…

A: Given Information:  Z = -1.23

Q: X is the time of completing a task using specific software. X has a normal distribution with a mean…

A: X has normal distribution with mean µ = 24 and variance, σ 2 = 49 => standard deviation σ = 7 We…

Q: The bell curve below represents the distribution for testing times. The scale on the horizontal axis…

A: Let X denote the time to complete an exam. Given that X follows N(mean = 44, SD = 5)

Q: Once a week, Bill rows his boat from the island where he lives to the mainland. The journey time, X…

A: Given that the mean μ and the standard deviation σ Given that  P(X<20)=0.63P(X<30)=0.95…

Q: Test scores with a mean of 0 and standard deviation of 1. Find the probability of a test being…

A: Let X represents the distribution of test scores. Given that X follows N(mean=0, SD =1). We will use…

Q: he weight of a green forest frog has a normal distribution with mean 150.3 g and a standard…

A: given data,normal distribution μ=150.3σ=5we have to find out the probabilty for the given data

Q: Which of the following correctly describes the relationship between the standard normal and the t…

A: We have to determine which statement is true for given situation.

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.