Question

56% of students need some form of remedial math, before they take college level math courses. If 4 students are picked at random:

a) Create a probability distribution for the number of students who need remedial math (R) (Label columns and rows; use only what you need; show work-some or all)

b) What is the probability of having at least 1 who needs remedial math

Answer #1

(a)

Binomial Distribution

n = 4

p = 0.56

q = 1 - p = 0.44

Probability Distribution of X = Number of students who need remedial math is given below:

Number of students who need remedial math (x) | Probability |

0 | |

1 | |

2 | |

3 | |

4 |

Thus,

Probability Distribution of X = Number of students who need remedial math is given below:

Number of students who need remedial math (x) | Probability |

0 | |

1 | |

2 | |

3 | |

4 |

(b)

P(X1) = 0.1908 + 0.3643 + 0.3091 + 0.0983 = 0.9625

So,

Answer is:

**0.9625**

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