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) Uniform Distributions. Once again, you have forgotten the password to your ema

ID: 2932080 • Letter: #

Question

) Uniform Distributions. Once again, you have forgotten the password to your email account. Upon clicking the “Forgot my password” link, the site instructs you to wait for a text message with the information to reset your password. Suppose your email provider claims this will take approximately between 1 and 5 minutes. More specifically, assume the random variable X is the time this message takes to reach your phone, where X is modeled by a uniform distribution (density curve).

a. (3 points) Draw the distribution for X from 0 to 5. Make sure to label you axes and give the height of your density “curve”.   

b. (3 points) What is the probability the text arrives within the first minute of the 5 minute time interval? Draw a picture.

c. (3 points) What is the probability the text arrives after 3 minutes? Draw a picture.

Document elements Tables Charts T SmartArt Review Paragraph Styles FC AIEEEEEOD AL AR- A EEEE2 Styles Text a DIS 7 a 7 laser Fall 2017 - intellectual property of Katie acet Q9. (9 points) Uniform Distributions. Once again, you have forgotten the password to your email account. Upon clicking the Forgot my password line, the site instructs you to wait for a text message with the information to reset your password. Suppose your email provider claims this will take approximately between 1, and 5 minutes. More specifically, assume the random variable X is the time this message takes to reach your phone, where X is modeled by a uniform distribution density curve). 20 points) Duanthe distribution for X from 0 to 5. Make sure to label you axes and give the height of your density "curve". bcight - DE b. 0 points) What is the probability the test arrives within the first minute of the minute time intervan Draw a picture. Pux

Explanation / Answer

a)here a=1 and b=5

as area =1

hence height =1/(b-a) =1/(5-1) =0.25

b)P(X<1) =0 (as from given information it will take more then 1 minute of time)

c)P(X>3) =(5-3)/(5-1) =2/4 =0.5

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