Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.
For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
- 37% say yes, hence
Then:
0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.
A similar problem is given at brainly.com/question/24863377
A gardener purchases a ceramic planter, in the shape of a hemisphere, for a small batch of leftover annuals. The volume of a hemisphere is modeled by the function V = 2/3πr 3
<span>A. Write a model for the radius as a function of the volume. </span>
<span>B. The label on the planter says that it holds approximately 134 cubic inches of potting soil. What is the radius of the planter, rounded to the nearest inch? Use 3.14 for π </span>
<span>r = ∛[(3/2)V) / π] </span>
<span>134 = (2/3) (3/14) r^3 </span>
<span>r = ∛[(3/2) (134) / 3.14] ≈ 4.00 inches </span>
Usually, the terms “data” and “information” are used interchangeably. However, there is a subtle difference between the two.
In a nutshell, data can be a number, symbol, character, word, codes, graphs, etc. On the other hand, information is data put into context. Information is utilised by humans in some significant way (such as to make decisions, forecasts etc).
A basic example of information would be a computer. A computer uses programming scripts, formulas, or software applications to turn data into information.
Let us have a detailed look at the difference between data and information in a tabular column below
