(a) Write the formula of the cumulative distribution function of radius of a wheel rim. (b) Determine the proportion of rim whose radius exceeds 10.2 in. (c) What radius is exceeded by 90% of the rim? (d) Determine the mean and variance of radius of wheel rim. (e) What is the expected value of its moment of inertia through center when the mass 3 Ibf s/in. [Hint: Moment of inertia =mass x (radius)'] 40 of the rim is

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Author:Amos Gilat
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part D E need

2. The radius of a wheel rim of a certain brand of cars is uniformly distributed between 9.5
and 10.5 in.
(a) Write the formula of the cumulative distribution function of radius of a wheel rim.
(b) Determine the proportion of rim whose radius exceeds 10.2 in.
(c) What radius is exceeded by 90% of the rim?
(d) Determine the mean and variance of radius of wheel rim.
(e) What is the expected value of its moment of inertia through center when the mass
3
Ibf -s /in. [Hint: Moment of inertia = mass x (radius) ]
40
of the rim is
Transcribed Image Text:2. The radius of a wheel rim of a certain brand of cars is uniformly distributed between 9.5 and 10.5 in. (a) Write the formula of the cumulative distribution function of radius of a wheel rim. (b) Determine the proportion of rim whose radius exceeds 10.2 in. (c) What radius is exceeded by 90% of the rim? (d) Determine the mean and variance of radius of wheel rim. (e) What is the expected value of its moment of inertia through center when the mass 3 Ibf -s /in. [Hint: Moment of inertia = mass x (radius) ] 40 of the rim is
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