Consider the probability experiment of flipping a fair coin 6 times. Let X be the number of heads. The probability distribution is given in the following table:

X |
P(X) |
Frequency (f) |

0 |
0.016 |
1 |

1 |
0.094 |
6 |

2 |
0.234 |
15 |

3 |
0.313 |
20 |

4 |
0.234 |
15 |

5 |
0.094 |
6 |

6 |
0.016 |
1 |

a. Draw the histogram.

b. Calculate the population mean and population standard deviation.

c. What is the probability of flipping a coin 6 times and getting exactly 3 heads?

d. What is the probability of flipping a coin 6 times and getting 4 or more heads?

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