Your family likes to eat fruit, but because of budget constraints, you spend only $5 each week on fruit. Your two choices are apples and grapes. Apples cost $1.00 per pound, and grapes cost $2.00 per pound. Let a denote the number of pounds of apples you buy and g the number of grapes. Because of your budget, it is possible to express g as a linear function of the variable a. To find the linear formula, we need to find its slope and initial value. ) If you buy one more pound of apples, how much less money do you have available to spend on grapes? (Round your answer to two decimal places.) $1 How many fewer pounds of grapes can you buy? (Round your answer to two decimal places.) 0.50 v Ib (b) Use your answer to part (a) to find the slope of g as a linear function of a. (Hint: Remember that the slope is the change in the function that results from increasing the variable by 1. Should the slope of g be positive or negative? Round your answer to two decimal places.) -0.50 (c) To find the initial value of g, determine how many pounds of grapes you can buy if you buy no apples. 2.5 v Ib (d) Use your answer to parts (b) and (c) to find a formula for g as a linear function of a.
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.
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