The probability that the cat lands on its feet both times it falls out of a tree is 0.85
<h3>How to determine the probability?</h3>
The probability that the cat lands on its feet is given as:
P(Feet) = 0.92
The probability that it lands on its feet twice is calculated using:
P = P(Feet) * P(Feet)
So, we have:
P = 0.92 * 0.92
Evaluate
P = 0.85
Hence, the probability is 0.85
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The <em>correct answer</em> is:
Independent.
Explanation:
The criteria for binomial experiments are:
A fixed number of trials.;
Each trial is independent of the others.;
There are only two outcomes; and
The probability of each outcome remains constant from trial to trial.
This means the outcomes are constant and independent.
Answer:
the answer is A
Step-by-step explanation:
Answer:
And we can find this probability using the normal standard table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel: