It is estimated that 35% of households own a riding lawn mower. A sample 19 households is studied. What is the mean number of ho
1 answer:
Answer:
The mean number of households who own a riding lawn mower is 6.65.
Step-by-step explanation:
For each household, there are only two possible outcomes. Either there is a riding lawn mower, or there is not. The probability of a household having a riding lawn mower is independent of other households. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
35% of households own a riding lawn mower.
This means that
A sample 19 households is studied.
This means that
What is the mean number of households who own a riding lawn mower
The mean number of households who own a riding lawn mower is 6.65.
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1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Hey there!☺
(-∞, 5)
You need to convert the inequality as an interval notation.
as interval notation would be written like this:
(-∞, 5)
Hope this helps!