Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1 pair of sunglasses, 15% of the interviewees have 2 pairs of sunglasses and 15% of the interviewees have more than 2 pairs of sunglasses. The other interviewees do not have any sunglasses. The shop is organizing a private sale and there will be 20 participants. Peter is assigned to take care of those participants who says that they do not have any sunglasses. (a) What is the probability that a participant does not have any sunglasses? (b) Most likely, how many participants in the private sale do not have any sunglasses? Calculate the probability of its happening. (c) Peter is asking for an assistant for the private sales. His application should be approved if the probability that there will be more than 4 participants in the private sale have no sunglasses is higher than 0.8. Would his application be approved? Explain your answer with calculation.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1 pair of sunglasses, 15% of the interviewees have 2 pairs of sunglasses and 15% of the interviewees have more than 2 pairs of sunglasses. The other interviewees do not have any sunglasses. The shop is organizing a private sale and there will be 20 participants. Peter is assigned to take care of those participants who says that they do not have any sunglasses. (a) What is the
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
