Exam 6: Continuous Probability Distributions

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The Globe Fishery packs shrimp that weigh more than 1.91 ounces each in packages marked" large" and shrimp that weigh less than 0.47 ounces each into packages marked "small"; the remainder are packed in "medium" size packages.If a day's catch showed that 19.77 percent of the shrimp were large and 6.06 percent were small, determine the mean and the standard deviation for the shrimp weights.Assume that the shrimps' weights are normally distributed.

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The area of the continuous uniform probability distribution is​

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z is a standard normal random variable.What is the value of z if the area to the right of z is 0.1213?

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Which of the following is not a characteristic of the normal probability distribution?

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z is a standard normal random variable.The P(z > 2.11) equals

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The average starting salary of this year's MBA students is $45,000 with a standard deviation of $5,000.Furthermore, it is known that the starting salaries are normally distributed.What are the minimum and the maximum starting salaries of the middle 95% of MBA graduates?

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The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles.What is the probability that a randomly selected tire will have a life of at least 52,500 miles?

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z is a standard normal random variable.The P (-2.20 z is a standard normal random variable.The P (-2.20   z   2.20) equals z z is a standard normal random variable.The P (-2.20   z   2.20) equals 2.20) equals

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The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000?

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The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes.What is the probability the trip takes between 20 and 30 minutes?​

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.Students who made 59.99 or lower on the exam failed the course.What percent of students failed the course?

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Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.1801?

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Given that z is a standard normal random variable, what is the value of z if the area between -z and z is 0.7243?

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z is a standard normal random variable.The P(1.5 < z < 2.3) equals

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The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.The probability that she will finish her trip in 60 minutes or less is

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The assembly time for a product is uniformly distributed between 2to 10 minutes.The probability of assembling the product between 7 to 9 minutes is

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In a Poisson probability problem, the rate of errors is one every two hours.To find the probability of three defects in four hours,

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.The professor has informed us that 8.75 percent of her students received grades of A.What is the minimum score needed to receive a grade of A?

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For any continuous random variable, the probability that the random variable takes a value less than zero

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Given that z is a standard normal random variable, what is the value of z if the area between -z and z is 0.9812?

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