A function with an input of 1 has an output of 3. Which of the following could not be the function equation?
2 answers:
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Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use 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.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
The standard deviation is the square root of the sum of the variances. So
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Answer:
B. The probability of getting a red convertible is 0.10.
Step-by-step explanation:
Independent events:
Two events, A and B, are independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
In this question:
Event A: Red car -> 0.25 probability
Event B: Convertible car -> 0.4 probability
Independent if:
The probability of getting a red convertible car is:
Thus, the correct answer is given by option B.