Data from the Central Hudson Laboratory determined that the mean number of insect fragments in 225-gram chocolate bars was 14.4 (http://www.centralhudsonlab.com/chocolates.shtml). In a 27-gram bar the mean number of insect fragments would then be 1.73. Assume that the number of insect fragments follows a Poisson distribution. (a) If you eat a 27-gram chocolate bar, find the probability that you will have eaten at least 2 insect fragments. (b) If you eat a 27-gram chocolate bar every week for 10 weeks, find the probability that you will have eaten no insect fragments in exactly 3 of those weeks.

Q: A Texas Instrument calculator operating life is normally distributed with a mean of 3,850 hours, and…

A: Given information- Population mean, μ = 3850 hours Population standard deviation, σ = 350 hours…

Q: The height of women ages​ 20-29 is normally​ distributed, with a mean of 63.6 inches. Assume σ=2.5…

A: Given Information: The height of women ages​ 20-29 is normally​ distributed, with a mean of μ=63.6…

Q: The number of traffic accidents on a busy toll bridge in a month is modelled by Poisson Distribution…

A: When the probability of success of an event is very small, we use poison distribution. If 'X' is a…

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: outhern Ocean food web, the krill species Euphausia superba is the most important prey species for…

A: given data, normal distributionμ=40σ=12n=4p(x¯>49)=?

Q: in a fish farm,the weight of a fish is found to follow normal distribution with mean 1.5 kg and…

A: Given that, In a fish farm, the weight of a fish is found to follow normal distribution with mean…

Q: 1. For the last 10 years, a certain school in Visayas has a passing rate of 63.25% for the bar exam.…

A: We have given that p = 63.25% = 0.6325 n = 245

Q: In a village, power cuts occur randomly at a rate of 3 per year. Find the probability that in a…

A:

Q: In a study of zebras, it was found that the pregnanciesof zebrasare normally distributed with a mean…

A: Solution: Let X be the pregnancies of zebras. From the given information, X follows normal…

Q: The number of daily visitors to an ice cream parlor is Poisson with a mean of 25. Using normal…

A: Normal Approximation to Poisson : If X ∼Poisson (λ)  ⇒  X ≈N ( μ=λ, σ=√λ), for λ>20, and the…

Q: 3. The commute time for Cypress College students who drive from their home to the college follows a…

A: Let X be the random variable from normal distribution with mean (μ) = 26 and standard deviation (σ)…

Q: A coin is tossed 5 times. What is the probability that a) at most 2 heads will occur? (b) At least 2…

A: Given 3 problems related to binomial distribution.  We have to find the indicated probability in…

Q: The time college students spend on the internet follows a normail distrubution. At Johnson…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.5…

A:

Q: A small jet can carry up to 43 passengers and 3 crew members. There is a weight restriction of 9200…

A:

Q: The average number of mice in a 5-acre rice field is estimated to be 80. Find the probability that a…

A: Given that  The average number of mice in a 5-acre rice field is estimated to be 80. Find the…

Q: In a study of work patterns, data from 669 subjects were collected. For the time spent in child…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 23.08,…

Q: Based on your result from the first question, what score marks the 98th percentile?

A: Let , X→N(μ=507 , σ=111) Our aim is to find the score marks the 98th percentile.

Q: The College Board National Office recently reported that in 2011-2012, the547,038 high school…

A: a) The probability that a high school junior who takes the test will score at least 610 on the…

Q: Based on Aircraft Safety Council of Country PQR, an average of 18 aircraft accidents occurred each…

A: Given,an average aircraft accidents occurred each year is 18so an average aircraft accidents…

Q: A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation of…

A:

Q: iron rods are produced in 6 groups. they each are required to tolerate a total length between 166…

A: Given Information: Consider the variable X which follows uniform distribution with parameters…

Q: study found that the mean migration distance of the blue crab in a Chesapeake Bay area was 14.1 km…

A:

Q: In 2001 there were 869 road fatalities in Virginia, according to the Virginia Department of Motor…

A:

Q: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.7…

A:

Q: The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a…

A:

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A:

Q: 3) Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the…

A:

Q: The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a…

A: Given that  X ~ Poisson (λ = 3.5) Probability mass function of X is  P(X = x) = 3.5x*e-3.5/x!  ,…

Q: According to the Energy Information Administration (official energy statistics from the U.S.…

A: Mean()=3.16standard deviation()=0.90sample size(n)=30significance level()=0.01

Q: 5. In 2018, the braking distance of Toyota Camry cars on a wet surface follows a normal…

A: Let,        X = braking distance of the Toyota Camry cars    Then, X ~ N(122, 20)  Then, let, Z = (X…

Q: The number of stork sightings on a route in South Carolina per year follows a Poisson distribution…

A:

Q: 1. A 100-watt light bulb has an average brightness of 1640 lumens, with a standard deviation of 62…

A:

Q: A waitress believes the distribution of her tips has a model that is slightly skewed to the right​,…

A: a) The probability that she will earn at least $350 is obtained below: From the given information,…

Q: The Australian Emergency department reports that the average time it takes to respond to an…

A:

Q: The Centers for Disease Control report that the total cholesterol levels for women, age 20-29, are…

A: Given, Mean = 183 Standard deviation = 37.2 Sample size = 30   The objective to is find the…