Question

4. Consider a continuous random variable X that is normally distributed with mean 4 and variance...

4. Consider a continuous random variable X that is normally distributed with mean 4 and variance 10.

i. Draw (as accurately as you can) the pdf of X. Carefully label axes.

ii. Draw (as accurately as you can) the cdf of X. Carefully label axes.

iii. At what value of x does the cdf take on the value 0.5? Label this in your diagram.

iv. In the diagram of your pdf, label the area that represents the probability that X takes on a value between 3 and 5.

v. What is the probability that X=2/3?

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Answer #1

Answer for i.

As per the given data & information

0.025 5 0.015 3 0.005 490 949 9483831 4 .2 2 3 3 4 4 0 5 6 6 7 2 1 1 0 0 9 9 8776655443322 0 9. 8 7 6 5 3 3 2 1 0 0 1 2 3 4 4 5 6 7 8 9. 0 1 2 3 4 5 6 7

Answer for ii.

As per the given data & information

3 | F(x) 0 9 318602975802579246813 283901621504826159382 7513-10-2456891

Antewer fotit LO :-나

Answer for iv.

As per the given data & information

density Normal-Distribution 20-18-16-14-12-10-8 -6 -4 -2 0 2 4 6 8 10 12 14 16 18 20LI 3 As leinol area uncler an intorl Mo, cause

Please Kindly help with Thumbs up for this answer. If any doubts feel free to query. Thank you

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