Respuesta :
The probability that a randomly selected adult has an iq between 89 and 121 is 0.80.
What is probability?
- Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true.
- The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
To find the probability that a randomly selected adult has an iq between 89 and 121:
Because we assume that these data are normally distributed in the adult population, we can answer this question by first converting our given scores to a standard normal distribution (a set of z-scores):
- x1 = 89,
- x2 = 121,
- μ = 105,
- ∑ = 20.
- z1 = ( x1 - μ(x) ) / ∑ = (89 - 105) / 20 = -0.80, and
- z2 = ( x2 - μ(x) ) / ∑ = (121 - 105) / 20 = 0.80.
Therefore, the probability that a randomly selected adult has an IQ between 89 and 121 is 0.80.
Know more about probability here:
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The correct question is given below:
Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation of 20. Find the probability that a randomly selected adult has an IQ between 89 and 121
