SOLUTION: I asked for assistance on these problems and the answers I recieved were not correct. I figured out how to do number one but I need help on two and three. The probability of win

Question 469527: I asked for assistance on these problems and the answers I recieved were not correct. I figured out how to do number one but I need help on two and three.
The probability of winning is 0.45 every time you play a certain game. Suppose you play the game 10 times.
1. Find the probability that you will win exactly 4 times. Round answer to three places after the decimal point.
I got this one correct=
.238

2. Find the probability that you will win 2 or more times. Round answer to three places after the decimal point.
.023?
3. Find the expected number of times you will win, and the standard deviation. Round both answers to three places after the decimal point.
4.5
and
1.573?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The probability of winning is 0.45 every time you play a certain game. Suppose you play the game 10 times.
----
Note: Binomial Problem with n = 10 and p = 0.45
----
1. Find the probability that you will win exactly 4 times. Round answer to three places after the decimal point.
I got this one correct=
.238
Correct
======================
2. Find the probability that you will win 2 or more times. Round answer to three places after the decimal point.
P(2 <= x <= 10) = 1 - P(0<= x <=1) = 1 - 0.023 = 0.9767
--------------------
3. Find the expected number of times you will win, and the standard deviation. Round both answers to three places after the decimal point.
np = 10*0.45 = 4.5
and
sqrt(npq) = sqrt(4.5*0.55) = 1.5732
=========================================
Cheers,
Stan H.

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