Answer and explain the steps in solving the following problems.A. The probability that a student leaves home at exactly the time set is 0.7, while theprobability that the specific student gets to school on time is 0.54. Moreover, theprobability that the student leaves the house at the set time and that they arrive on timein the school is 0.65. Find the probability that the student left home at the time set giventhat the student arrived on time.B. The probability that it will rain on a randomly selected day in April is 0.38, the probabilityof a windy day is 0.43, and the probability of snow is 0.34. It is also a known fact that theprobability of rain given a windy day is 0.22, and the probability of snow given a windyday is 0.16.a. What is the probability that a rainy and windy day will happen?b. Are three weathers (rainy, windy, or snowy) mutually exclusive?

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: A. The probability that a student…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let the probability of rainfall occurrence on any day in the month of December be 0.3. If you are wishing a no-rainfall 7-day period as you are planning for a 7-day study tour. Find the probability that the rainfall will not occur in these 7 days. Find the probability of 1 rainy day during these 7 days.
Find the probability of purchasing a ticket with a number whose sums of the first three and last three digits are equal if it has six digits and may be any number from 000000 to 999999.
Suppose that a family has seven children. Also, suppose that the probability of having a girl is 1/2. Find the probability that the family has at least six girls.
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On a weekend morning, the probability that a child watches television is 0.71. On a weekend morning, the probability that a child watches television or plays on a tablet is 0.84. On a weekend morning, the probability that they watch television and plays on a tablet is 0.68. On a Saturday morning, the probability, to the nearest hundredth, that the child will plays on a tablet is:
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