Question

Math

Posted 3 months ago

```
Layla has a coin that has a $60 \%$ chance of showing heads each time it is flipped. She is going to flip the coin 5 times. Let $X$ 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.
$P(X>3)=$
```

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Answer from Sia

Posted 3 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: $P(X=4)$

step 3

Calculate the probability of getting exactly 5 heads: $P(X=5)$

step 4

Add the probabilities from steps 2 and 3 to find $P(X>3)$

[question number] Answer

$P(X>3) \approx 0.34$

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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