We suppose that the weight of men follows a normal distribution whose parameters are 80 kilos and 15 kilos. Given that a small boat can support a maximum weight of 260 kilos, what is the probability that 3 men randomly and independently selected who get in the small boat sink? What is the probability of the average weight of these 3 men is lower than 85 kilos?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.2…

A: GivenMean(μ)=14.2standard deviation(σ)=2.2

Q: If 23% of all patients with high blood pressure have bad side effects from a certain kind of…

A: Normal approximation to the binomial: From the given information, sample size, n = 120. The…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.1…

A:

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: 1] μ1=1752] μ1=1653] σ12=644] σ22=645] n1=86]  n2=8

Q: The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway…

A: The probability that the speed of a car is at most 29 mph is 0.727, which is obtained below:…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.9 inches,…

A: GivenMean(μ)=9.9standard deviation(σ)=2.6

Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…

A:

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A:

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.1 inches,…

A:

Q: Suppose the average annual consumption of milk in Zambia is 23.4 gallons per person with a standard…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A traffic light is set to switch from red to green according to a uniform distribution with a mean…

A: The cumulative density function for uniform distribution is  F(X)=x-ab-a The mean of uniform…

Q: The average of the weights of all the boys in Sixth Grade in a school is 100 pounds and its standard…

A:

Q: A researcher wishes to estimate the average height of men for a certain region of the country. If…

A: Probability is the measure determine the likelihood of an event. Event is the outcome of an…

Q: Suppose two random variables have standard deviations of 0.10 and 0.23, respectively. What does this…

A: Given : Standard deviation (s.d)  :            It is a measure of dispersion which measure the…

Q: Tom works for a fruit company and found that the weight of pineapples are normally distributed with…

A: From the information, mean is 500 and standard deviation is 100.

Q: If a continous random variable, x, is normally distributed with a mean of 100 and a standard…

A: GivenMean(μ)=100standard deviation(σ)=15

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.4 inches,…

A: Let "M" be the mean length of the item in inches.

Q: In a certain population, the length of the third metatarsal follows a normal distribution where μ=60…

A: Given: X~N60,100n=30μ0=85

Q: In the Chapter Problem, we noted that the safe load for a water taxi was found to be 3500 pounds. We…

A: Solution: Let X be the weight of the men. From the given information, X follows normal distribution…

Q: The heights of men in a city are normally distributed with mean 171 cm and SD 7 cm, while the…

A:

Q: The mean height of 15-year-old boys is 175 cm and the variance is 64. For girls, the mean is 165 and…

A:

Q: Suppose a biologist is interested in monitoring the number of oak trees with oak wilt per acre. The…

A:

Q: The distribution of IQ scores for high school graduates is normally distributed with μ = 104 and σ =…

A:

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.4…

A: We know it is normally distributed. So we can use the z - probability formula. z=x-μσ Here, μ -…

Q: The weights of the fish in a certain lake are normally distributed with a mean of 11 lbs. and a…

A: From the provided information, Mean (µ) = 11 Standard deviation (σ) = 12 X~N (11, 12) Here X be a…

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: In a family with 2 ​children, the probability that all the children are girls is approximately…

A:

Q: If X is distributed as a normal distribution with a mean value of 10 and a variance equal to 3 and Y…

A:

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches,…

A:

Q: Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X…

A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

Q: Suppose that an ice cream dispenser fills up an average of 200 mL per cup. If it is in normal…

A: The average number of ice cream dispenser fill up an average of 200 ml per cup. The standard…

Q: Hello. Can I get help on how to work out this problem? If there is also a way to calculate using the…

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: In a family with 2 ​children, the probability that all the children are girls is approximately 0.25.…

A: Givenn=1000p=0.25x~Binomial(n=1000,p=0.25)P(X=x)=(nx)×px×(1-p)n-x    x=0,1,...,n

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 8.1…

A:

Q: Suppose we are interested in the mean burning rate of a solid propellant, a random variable that can…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 8.7 inches,…

A: Let x be the length which follows normal distribution with mean 8.7 and standard deviation 2.2. The…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.2 inches,…

A: Obtain the probability that the mean length is less than 5.6 inches. The probability that the mean…

Q: If the weights of students at A&M are normally distributed with a mean of 160 and a standard…

A: Given: μ = 160 σ = 25

Q: A geologist is making guesses about the mean length of fossil teeth of a certain species found in a…

A: From the provided information,

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 11.7…

A:

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

A: Mean = 180 Standard deviation = 28 Sample size, n = 40

Q: Suppose that weights of one-pound bags of apples follow the normal distribution with the mean of 1…

A: Given Population mean μ=1, standard deviations σ=0.2,  Let X be the weight of one pound bags off…

Q: Suppose the time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ =…

A: The probability that the sample mean is less than 8 minutes is 0.5 and it is obtained below:

Q: Suppose a different study, taken in a different country, found that weights in that country were not…

A: Mean=182.1 Median=173.1 First quartile=152 Third quartile=204.5

Q: A city temperature is modeled as a normal random variable with mean and standard deviation both…

A: given data,  Mean (μ) = 10  S.D(σ) =10Let X be normally distributed random variable P(X≤15) = ?

Q: Suppose the annual savings (in millions of euros) of a specific household is a random variable,…

A: Given: n=16, μ=5 and σ=1.…

Q: For a marketing research it is known that the proportion women who use personal care products is…

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.