SOLUTION: I just can't seem to get this probability thing. Can you please show me how to do these: 1: In the rainforest you are visiting, there is a 50% chance of rain each day. Find t

Question 444879: I just can't seem to get this probability thing. Can you please show me how to do these:
1: In the rainforest you are visiting, there is a 50% chance of rain each day. Find the probability of rain on all of the next 4 days.
2: Each trial of an experiment has a probability of success p. Find the probability of x successes in n trials.
A: p=0.3, x=4, n=6
B: p=0.9, x=5, n=7
I am beyond lost. Please help!
Thank you

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1: In the rainforest you are visiting, there is a 50% chance of rain each day. Find the probability of rain on all of the next 4 days.
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Ans: (0.50)^4 = 0.0625
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2: Each trial of an experiment has a probability of success p. Find the probability of x successes in n trials.
A: p=0.3, x=4, n=6
P(x=4) = 6C4(0.3)^4(0.7)^2 = binompdf(6,0.3,4) = 0.01536
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B: p=0.9, x=5, n=7
P(x= 5) = 7C5(0.8)^5*(0.2)^2 = binompdf(7,0.9,5) = 0.1240
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I used a TI-84 to get the numbers.
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Cheers,
Stan H.

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