A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and
1 answer:
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Confidence Interval for both the percentage of all x-ray machines
p = the machinery's share is not working:
Lower Confidence interval = p - error margin
Upper Confidence Interval = p + error margin
So, Confidence Interval
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Answer:
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. 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.
The probability that the islanders will beat the rangers in a game is 0.44
This means that
What is the probability that the islanders will win exactly one out of four games in a series against the rangers?
This is P(X = 1) when n = 4. Then
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Unfortunately you cannot use logs to solve this.
However, it shouldn't take too long to use guess-and-check to see that
Showing that x = 2 is the solution to the equation.
You can use a graphing calculator to graph out and
. The two curves cross at (2,13). The x coordinate of that intersection is what we're after. GeoGebra and Desmos are two free options you can pick from in terms of a graphing calculator.