Find the indicated probability. Let X be the number showing on a fair six-sided die. The distribution of X has mean 3.5 and standard deviation 1.71. If a six-sided die is rolled 30 times, what is the probability that the average of all 30 rolls is less than 3? 0.0548 0.3859 0.2924 0.6141 0.0228

Q: Need help with this problem

A: It is given that the mean and standard deviation are $490 and $45, respectively.

Q: What is the probability of randomly selecting an income greaterthanX= $75,000 per year in a set of…

A:

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

A:

Q: A survey asked 863 people how many times per week they dine out at a restaurant, A probability…

A:

Q: In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25.…

A:

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

A: We have given that,  X be the random variable from standard normal distribution with mean (μ) = 0°C…

Q: he average number of milligrams (mg) of cholesterol in a cup of certain brand of ice cream is 660 mg…

A: Given : Mean = μ = 660 Standard deviation = σ = 35 Sample size = n = 10

Q: The amount of regular unleaded gasoline purchased every week at a gas station near UCLA follows the…

A: Given: Starting supply of gasoline (S) = 74,000 gallons Weekly delivery(W) = 47,000 gallons Let, the…

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A: Solution: From the given information, µ=37, σ=12 and n=64.

Q: Assume that the heights of men are normally distributed with a mean of 71.3 inches and a standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: The average yearly consumption of water per person in Lebanon is 150 liters with a standard…

A: We want to find the value of sigma

Q: Find the mean and standard deviation for the probability distribution below. Round to two decimal…

A:

Q: 6. For the most recent year available, the mean annual cost to attend a private university in the…

A: Given that mean =20307 , s.d =4275 , p value =0.9

Q: The resistance for resistors of a certain type is a random variable X following a normal…

A: Mean = 9 Standard deviation = 0.4

Q: Assume that the heights of women are normaly distributed with a mean of 63.6 inches and a standard…

A: Given,   Mean = 63.6 Standard deviation = 2.5 Sample size = 100   The objective is to find the…

Q: A student takes on average, 40 minutes, to commute from home to school and vice-versa (assume equal…

A: Given problem Given that   A student takes on average , 40 minutes , to commute from home to…

Q: Let x be a ramdom variable that represents the temperatures, in degrees Farenheit, of an adult. Then…

A:

Q: In a Godiva Chocolate Shop, there are different sizes and weights of boxes of truffles. a. Find the…

A: a. Given: μ=283σ=1.6 The probability that a box of truffles weighs between 283 and 285.4 grams…

Q: A client has an investment portfolio whose mean value is equal to $1,000,000 with a standard…

A: A client has an investment portfolio whose mean value is equal to $1,000,000 with a standard…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: X follows a Normal distribution with mean = 100 and S.D = 10 Then z=(x-mean)/SD = (x-100)/10…

Q: The porosity of Wara formation is normally distributed with a mean of 18% and a standard deviation…

A: Given, Mean = 18% Standard deviation = 4% The distribution is normal distribution.           To…

Q: For a Uniform distribution with a low of 0 and a high of 25. Find the probability that a score is…

A: Solution: If X be the uniform random variable, then the probability density function of X is Let X…

Q: Provide an appropriate response. Suppose a brewery has a filling machine that fills 12 ounce bottles…

A: The mean is 12.37 and the standard deviation is 0.08.

Q: Assume that the salaries of elementary school teachers in the United States are normally distributed…

A: Given: μ=32000, σ=3000, n=100 The corresponding z-value needed to be computed is:

Q: fter deducting grants based on need, the average cost to attend USC is μ=$28,000. The population…

A: Given that  The average cost to attend USC is $28,000 Population mean (μ) = $28,000 Population…

Q: Find the standard deviation o of the random variable X given the probability distribution

A: Steps to find the standard deviation δ for given probability distribution - Step 1. Find x.P(x)Step…

Q: A normal distribution has a mean of 32 and a standard deviation of 6. Find the probability that a…

A:

Q: Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts,…

A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10, w hat is the…

A: Let X be the random variable and it follows the normal distribution with mean μ and standard…

Q: Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of…

A: Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of…

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

A:

Q: Suppose the mean height of Grade 11 male students in a certain school is 170 cm, and that the…

A:

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A:

Q: The number of dogs per household in a neighborhood is given in the probability distribution. Find…

A: The table shows the number of dogs per household in a neighborhood.

Q: The average height of flowering cherry trees in a certain nursery is 10.5 feet. If the heights are…

A:

Q: The gestation period of humans follows a normal distribution with a mean of 266 days and a standard…

A:

Q: The contents of a soda can holds an approximate and normally distributed mean of μ= 10 oz with…

A:

Q: Consider the probability distribution for number of children in local families. Probability…

A:

Q: A manufacturer fills jars with coffee. The weight of the coffee, W grams, in a jar can be modelled…

A:

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

A: It is given that the,  that the readings on the thermometers are normally distributed with a mean of…

Q: The volume of a dog shampoo filled into a container is uniformly distributed between 370 and 380…

A: X ~ U(370, 380) i.e. a = 370 b = 380

Q: The volume of a dog shampoo filled into a container is uniformly distributed between 370 and 380…

A: Obtain the mean of the volume of dog shampoo.   The mean of the volume of dog shampoo is obtained…

Q: Nails are sold in a packet of 100. Occasionally a nail is faulty. The number of faulty nails in a…

A: It is interpreted that, each nail has the only options of being "faulty" (i.e., denoted as success)…

Q: D. The mean annual cost to attend a attend a college is $44,324. Assume the distribution of annual…

A: Given: Mean, μ=44324 Standard deviation, σ=4590 To calculate: 90% of all students pay less than what…

Q: Let X distributed as a Normal random variable with a mean of 15 and a standard deviation of  3. A)…

A: Solution: A. Let X be the random variable. From the given information, X follows normal distribution…

Q: In a Math test, the mean score is 45 and the standard deviation is 5. Assuming the scores are…

A:

Q: The average life of a bread-making machine is 7 years, with a standard deviation of 1 year. If the…

A: The average life of a bread making machine is 7 years, with a standard deviation of 1 year. If the…

Q: The salaries ofelementary school teachers are normally distributed with a mean of $32,000 and a…

A:

Q: 7. Assume that the height of people, measured in inches, has a normal distribution with a mean of 65…

A:

Q: The monthly salaries of employees working in a company have a standard normal distribution with an…

A: Given Data: Let x represent the random variable Mean=1700 Standard deviation=500   X~ Normal (1700,…

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.