If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability thatthe card you select
1 answer:
Answer:
3/4
Explanation:
Probability is the likelihood or chance that an event will occur. It is expressed as;
Total number of cards is the total outcome = 52
Since we want to determine the probability that the card you select is not a heart, then;
Expected outcome = 52-13 (since there are 13 hearts)
Expected outcome = 39 (not a heart)
Substitute into the formula;
Hence the probability that the card selected is not a heart is 3/4
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Answer:
There are 4 scores in the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
We want to find n. So
By the Central Limit Theorem
Simplifying by 4
There are 4 scores in the sample.