Given lines l, m and n are all parallel and cut by two transversal lines, find the value
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The expected value is the mean of the overall observed value or random value. In other words, it is the average of the observed values.
The expected value, E(x) of the given observation is 185
The given parameters can be represented as:
The following formula calculates the expected value:
So, we have:
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Answer:
19.77% probability that exactly one insect will survive
Step-by-step explanation:
For each insect, there are only two possible outcomes. Either they survive, or they do not. The probability of an insect surviving is independent of other insects. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A certain insecticide kills 70% of all insects in laboratory experiments
So 100 - 70 = 30% survive, which means that
A sample of 8 insects is exposed to the insecticide in a particular experiment.
This means that
What is the probability that exactly one insect will survive?
This is P(X = 1).
19.77% probability that exactly one insect will survive