Question 47918: 4. The probability that a married man watches a certain television shows is 0.4 and the probability that a married woman watches the show is 0.5, the probability that a man watches the show given that his wife does is 0.7. Find the probability that
a.) A married couple watches the show and
b.) At least 1 person of a married couple will watch the show.
13. A call center operator working in the night shift reports that the average numbers of incoming queries is 3.2 per minute. Determine the probability that during a given minute, there will be
a.) At most 3 incoming calls?
b.) Four or more incoming calls?
14. A company pays its employees an average wage of 60 pesos an hour with a standard deviation of 10 pesos. If the wages are approximately normally distributed and paid to the nearest cent.
a.) What percentage of the workers receive wages between 48 pesos and 69 pesos an hour inclusive?
b.) The highest 5% of the employee hourly wages is greater than what amount?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 4. The probability that a married man watches a certain television shows is 0.4 [P(m)=0.4]and the probability that a married woman watches the show is 0.5 [P(w)=0.5], the probability that a man watches the show given that his wife does is 0.7 [P(m|w)=0.7].
---------------
Find the probability that
a.) A married couple watches the show:
P(m|w)=[P(m and w)]/[P(w)]
Therefore P(m and w) = 0.7*0.5=0.35
--------------
b.) At least 1 person of a married couple will watch the show.
P(at least 1 person of a couple will watch)= 1- P (neither watch)
=1 - P(man doesn't watch)*P(woman doesn't watch)
=1 - 0.6*0.5 = 1- 0.30 = 0.70
----------------
13. A call center operator working in the night shift reports that the average numbers of incoming queries is 3.2 per minute. Determine the probability that during a given minute, there will be
a.) At most 3 incoming calls?
b.) Four or more incoming calls?
Can't do these unless you know the standard deviation of number of calls.
-----------------------------
14. A company pays its employees an average wage of 60 pesos an hour with a standard deviation of 10 pesos. If the wages are approximately normally distributed and paid to the nearest cent.
a.) What percentage of the workers receive wages between 48 pesos and 69 pesos an hour inclusive?
Convert 48 and 69 to z scores.
Find the area under the normal curve above the
z-interval you find.
Answer: 70%
---------------
b.) The highest 5% of the employee hourly wages is greater than what amount?
Find the z-value corresponding to 95% under the curve. Ans: z=1.645
Find the corresponding raw score value using mean=60 and std = 10.
Ans: 76.45
-------------
Cheers,
Stan H.
|
|
|
