<20 Question 1Z Not yet answered Marked out of 10.00 Melbourne Payrache-dents k g(x)=(x+2)5 x>0 Flag question The life t

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20 Question 1z Not Yet Answered Marked Out Of 10 00 Melbourne Payrache Dents K G X X 2 5 X 0 Flag Question The Life T 1 (56.18 KiB) Viewed 25 times

<20 Question 1Z Not yet answered Marked out of 10.00 Melbourne Payrache-dents k g(x)=(x+2)5 x>0 Flag question The life time in years, of a certain type of pump is a random variable with probability density function x≤0 online melbournepolytechnic.edu.au BET304 Eng Mathema Low Battery T Mac wit wer MacBook Air where k is a constant. (All numerical answers must be given to four decimal places accurately) a. Find the value of k so that is a probability density function b. What is the probability that a pump lasts more than 3 years? C. What is the probability that a pump lasts between 3 and 5 years? d. Determine the mean lifetime e. Find the median lifetime f. What proportion of pumps lasts between 3 and 5 years are the pumps lasts more than 3 years? g. Determine the 70th percentile of the lifetime Chee (2+1+1+1+3+1+1-10 Marks)