On the daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the data are normally distributed. Find the probability that the bus will have between 38 and 42 passengers on a randomly selected day. Give your answer as a percent rounded to two decimal places (to the nearest hundredth).

Q: From Experience, you know that the probability that you will make a sale on any given telephone call…

A: The probability that your first sale on any given day will occur on your fourth or fifth sales call…

Q: The SAT math scores of a particular high school in New Jersey are approximately normally…

A: From the empirical rule we know that 95% of the observations falls in (µ-2σ,µ+2σ)  Where µ is the…

Q: CNNBC recently reported that the mean annual cost of auto insurance is $1019. Assume the standard…

A: Given that  Mean = 1019 Standard deviation = 238 Sample size = 72

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: The mean IQ of 500 data science students is 151  and the standard deviation is 15. Assuming that the…

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Q: tudent obtained the mean of 58 observations as 48. It was later found that one observation was…

A: Given data, n=58 The mean for 58 observations is 48 x=∑xn48=∑x58∑x=2784

Q: Find the mean, 80th percentile and standard deviation: 2,-3,7,5,-2,3

A: Solution-: Given data: 2,-3,7,5,-2,3 We want to find, (a) The mean=? (b) The 80th percentile=? (c)…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: If the grades are normally distributed and 8 students received a B, how many students took the…

A: Let C denote the grades of students. Given that X follows N(mean = 82, SD = 5), then  Z = (X -…

Q: 9% of all cars fail the emissions inspection, find the probability that in a sample of 125 cars, 16…

A: Given n=125 P=0.09

Q: Find the range , the standard deviation, the variance for 45, 75, 84, 58, 81, 65 , 98,63,76

A: Range = Maximum - Minimum = 98 - 45 = 53   The standard deviation can be determined using the…

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A: The number of egg consume are normally distributed with a mean 293.6 and a standard deviation of…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: After 5 points are added to each score in a sample, the mean is found to be M=45 . What was the…

A: Given data: c = 5 points are added to each score in a sample. New mean, M = 45 Let the original mean…

Q: A couple plans to have 14 children. Assume that girl and boy births are equally likely. Find the…

A: A couple plans to have 14 children. Assume that girl and boy births are equally likely.

Q: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a…

A: Let X be a random variable such that X: Height of the children Since the sample is large (500)…

Q: Below represents the amounts that a random sample of employees reported that they spent on dinner…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200 lbs and the…

A: From the above given data the following solution is provided below:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

A:

Q: 4. A car salesperson notes that she sells either 1, 2, 3, 4, 5 or 6 cars per week with equal…

A:

Q: Temperatures in a city are distributed approximately normal, with a mean of 69 degrees Fahrenheit…

A:

Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A:

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: Given the data: 47, 55, 57, 63, 73. Find the standard deviation. Round the final answer to the…

A:

Q: A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the…

A: Normal Distribution:Normal Distribution:The normal distribution is a continuous probability…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A: From the provided information,Mean (µ) = 1000Standard deviation (σ) = 200X~N (1000, 200)

Q: ind the probability that a voice recorder will last between 2.8 and 6 years. Find the 70th…

A: Let X denote the voice recorder and it follows normal distribution with mean of μ=4.1 years and…

Q: The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the…

A: Solution:  The frequency distribution for the data is  f Midpoint x xf 2 70.5 141 10 92.5 925…

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A candy manufacturer has replaced 5.17% of their chocolate bars with a new mystery flavor. Find the…

A: Given: Sample size (n) = 424 p(chocolate bars with a new mystery flavor) = 5.17% = 0.0517

Q: Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 35 miles…

A: Let X be the miles driven per day by a truck.

Q: Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles…

A:

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A:

Q: Trucks in a delivery fleet travel a mean of 80 miles per day with a standard deviation of 35 miles…

A: We denote the mean by the symbol  and the standard deviation by the symbol . It is giventhat  and…

Q: Place the following in order to show how you find the standard deviation. Take the square root of…

A:

Q: The Coffee shop's mean sales are $2000 a day, with a standard deviation of $1000. what're the…

A: GivenMean(μ)=2000standard deviation(σ)=1000

Q: The average life of a car tire is 50,000 miles.  The standard deviation is 2,000 miles   What…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

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.