SOLUTION: On any given night, Becky has a 60% chance of seeing a shooting star in any given hour. If Becky watches the sky for two hours, find the following probabilities a. What is the pr

Question 201545: On any given night, Becky has a 60% chance of seeing a shooting star in any given hour. If Becky watches the sky for two hours, find the following probabilities
a. What is the probability that Becky sees a shooting star in both hours?
b. What is the probability that Becky sees a shooting star in exactly one hour?
c. What is the probability that Becky does not see a shooting star at all?
d. Given that Becky did not see a shooting star in the first hour, what is the probability that she will see one in the second hour?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
On any given night, Becky has a 60% chance of seeing a shooting star in any given hour. If Becky watches the sky for two hours, find the following probabilities
These are Binomial problems.
p = 0.6 ; q = 0.4
a. What is the probability that Becky sees a shooting star in both hours?
n = 2 ; = 0.6 ; x = 2
P(x=2) = 0.6^2 = 0.36
---------------------------------------
b. What is the probability that Becky sees a shooting star in exactly one hour?
P(x = 1) = 1 - [P(x=0) + P(x=2)] = 1 - (0.4)^2 - 0.6)^2 = 1 -0.16 - 0.36 = 0.48
------------------------------------------
c. What is the probability that Becky does not see a shooting star at all?
P(x=0) = 0.4^2 = 0.16
------------------------------------------
d. Given that Becky did not see a shooting star in the first hour, what is the probability that she will see one in the second hour?
The events are independent:
P(x = 1 in the 2nd hour) = 0.6
------------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
4. Ann and Becky run on a straight track. Ann starts 10m ahead of Becky, and runs at a... (answered by ikleyn,Alan3354)

On any given day, the likelihood of seeing a hare is 40% What is the probability of... (answered by ewatrrr)

In how many ways can 7 people be seated in a row of chairs if two of the people, David... (answered by robertb)

Becky and Rita are 648 miles apart. Becky walks toward Rita at the rate of 2.25 m/s and... (answered by stanbon)

10. "A car can't take you to the moon" would be the a)Converse b)Countermove... (answered by stanbon)

If the chance of an overnight freeze in Rexburg on any given night is 0.55, what is the... (answered by stanbon)

If the chance of an overnight freeze in Rexburg on any given night is 0.5, what is the... (answered by ikleyn)

A certain planet has a day length of 24 hours. The planet is totally covered in water,... (answered by ikleyn)

I tried and tried to figure this one out, with no success. Becky Schwartz, a... (answered by narayaba)