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Question
Math
Posted 7 months ago

Layla has a coin that has a 60%60 \% chance of showing heads each time it is flipped. She is going to flip the coin 5 times. Let XX represent the number of heads she gets.

What is the probability that she gets more than 3 heads?
You may round your answer to the nearest hundredth.
P(X>3)=
P(X>3)=
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Answer from Sia
Posted 7 months ago
Solution by Steps
step 1
Identify the type of probability distribution and the relevant parameters
step 2
Calculate the probability of getting exactly 4 heads: P(X=4)P(X=4)
step 3
Calculate the probability of getting exactly 5 heads: P(X=5)P(X=5)
step 4
Add the probabilities from steps 2 and 3 to find P(X>3)P(X>3)
[question number] Answer
P(X>3)0.34P(X>3) \approx 0.34
Key Concept
Binomial Probability Distribution
Explanation
The probability of getting more than 3 heads in 5 flips of a coin with a 60% chance of heads is calculated using the binomial probability formula for the exact outcomes of 4 and 5 heads, then summing these probabilities.

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