Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X ~ N(,) b. If one car is randomly chosen, find the probability that it is traveling more than 69 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 72 mph. Round to 4 decimal places.

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A:

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A: a) Mean= 34 Standard deviation = 15  So, variance= 152= 225 X~N(mean, variance)=N(34,225)…

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A: The objective of this question is to find the probability that male students have a height between…

Q: Continuous distribution. Draw a bell shaped curve to show the x and z values and the probability…

A: The objective of this question is to find the probability of male students having a height between…

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A: Given data, μ=6.3σ=2.02n=6

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A: Given : Mean = 120 Mode = 123 Karlpearson's coeff. of skewness = -3

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A: Note: According to our guidelines we can answer only three subparts and rest can be repost.

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A: Given that.   X~N( μ , ?^2 )   μ=66     , ?=14   Z-score =( x - μ )/?   NOTE:- According to bartleby…

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A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have…

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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68…

A: As per Bartleby guideline expert have to answer first question three subparts only dear student…

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A: a) Given that μ=5.79 and σ=2.31 The distribution of X is, X~Nμ,σX~N(5.79, 2.31) b) The distribution…

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A: We have given that  Mean = 60 Standard deviation = 18   Note: According to Bartleby expert…

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A: here use basic of normal distribution

Q: deviation

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A: We use Z test if population variance are known.

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A: Given : X~Nμ=66,σ=17

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A: "Since you have uploaded a question with multiple subparts, we are solving the first three subparts…

Q: Please answer all. Thank you. When do we use the t-distribution? A.) we can use the t-distribution…

A: When do we use the t-distribution

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A: normal distribution

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A: Given data: Mean = 67 Standard deviation  = 15

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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64…

A: GivenMean(μ)=64standard deviation(σ)=16

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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.