*Statistics week 11 graded assignment Complete Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments *

A match predictor claims that he can predict the result of a match correctly 77% of the time. It is agreed that his claim will be accepted if he correctly predicts the results of at least 4 of 8 matches. What is the probability that his claim gets rejected?

*1 point*

Hint: If the chances of happening of an event is x:y then, the probability equals $x+yx$

*1 point*

*1 point*

*1 point*

*1 point*

*1 point*

Choose the correct condition/s about binomial distribution.

$X=i$ | $P(X=i)$ |
---|---|

0 | 0.00032 |

1 | 0.0064 |

2 | 0.0512 |

3 | 0.2048 |

4 | 0.4096 |

5 | 0.32768 |

*1 point*

*1 point*

At a school function, It is noticed that 9% of the students are not wearing polished shoes and 12% of students are not wearing school ties. It is announced that the students who have committed any of the infractions will be punished, and that these two infractions are independent of one another. If a teacher selects 5 students at random, then find the probability that exactly three of the students will be punished for any of the infractions?

*1 point*

There are 7 black and 20 blue pens in a box. A pen is chosen at random, and its colour is noted. If the process repeats independently, 13 times with replacement, then calculate the expected number of black pens chosen?

Number of calls received at an office follows a Poisson distribution with an average of 1 call per minute. Find the probability that no call will be received in two minutes at the office. (Enter the answer correct to 2 decimal accuracy.)

*1 point*

A quiz team is to be chosen randomly from 6 boys and 4 girls. The team has 3 slots which are to be filled randomly. If $X$ denotes the number of boys in the quiz team, then using the given information, answer questions (12) and (13).

*1 point*