Please show your solution on each problem.
1. A bag contains 4 white socks and 5 blue socks. The socks are drawn from the bag one at a time and are replaced after each drawing. What is the probability of drawing exactly 3white socks in 6 trials?
2.In Quezon Province, power interruptions occur (according to a Poisson distribution) with an average of 7 interruptions every 30 weeks. Calculate the probability that there will not be more than three interruptions during a particular week.
3.A marksman named Granger, finds that on the average he hits the target 9 times out of 10. If he fires 4 shots, what is the probability of
(a) more than 2 hits?
(b) at least 3 misses?
1. A bag contains 4 white socks and 5 blue socks. The socks are drawn from the bag one at a time and are replaced after each drawing. What is the probability of drawing exactly 3white socks in 6 trials?
2.In Quezon Province, power interruptions occur (according to a Poisson distribution) with an average of 7 interruptions every 30 weeks. Calculate the probability that there will not be more than three interruptions during a particular week.
3.A marksman named Granger, finds that on the average he hits the target 9 times out of 10. If he fires 4 shots, what is the probability of
(a) more than 2 hits?
(b) at least 3 misses?
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Answer:
9
4
Total number of socks =9(4B,5W)
Required probability =P(B,B)orP(W,W)
=P(B)P(B)+P(W)P(W)
Probability of pulling a brown socks in first draw is
9
4
Since, the socks is not replaced, probability of pulling a brown socks in second draw is
8
3
Probability of pulling a white socks in first draw is
9
5
Since, the socks is not replaced, probability of pulling a white socks in second draw is
8
4
Required probability =
9
4
×
8
3
+
9
5
×
8
4
=
18
3
+
18
5
=
9
4
Step-by-step explanation:
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