Answer:
And we can find the individual probabilities using the probability mass function and we got:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want this probability:
And we can use the complement rule and we got:
And we can find the individual probabilities using the probability mass function and we got:
And replacing we got:
Answer: 64% of the variability in weight can be explained by the relationship with height.
Step-by-step explanation:
- In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
- Coefficient of determination, , is a measure of variability in one variable can be explained variation in the other.
Here, r= 0.80
That means 64% of the variability in weight can be explained by the relationship with height.
(-4, 2), (-1, 2), and (-4, 0
The question is asking us to find how much seven tomatoes would cost. Well, to get our answer, we must first find the cost of one tomato. We are given the information that paying $4.16 for 4 tomatoes. All we have to do now is divide 4.16 by 4, to get the price of one tomato. This gives us $1.04. Now, just multiply 1.04 by 7 to get 7.28. Therefore, the price of seven tomatoes is C. $7.28. Hope this helped and have a phenomenal day!