1. The bimonthly average consumption of electricity in a city is 59 kWh, with a typical deviation (standard deviation) of 6 kWh. It is assumed to be distributed according to a normal distribution. What is the probability that the consumption is between 59 or 76 Kw/h in a two-month period?
2. What is the probability that consumption is between 64 and 74 Kw/h in a two-month period?
3. What is the probability that there will be consumption of less than 50 Kw/h in a two-month period?

• A group of children is given an intelligence test (WISC); Assume that the scores are normally distributed and knowing the parameters with = 100 and = 15. In terms of IQ, use this information to answer the following questions. What is the probability that the children's scores are P(90 > X > 110)?
• What percentage of children had an IQ of at least 80?
• What is the probability that the children will have an IQ of no more than 111.5 or no less than 131.9?

The stay of patients in a General Hospital presents a normal distribution, with a mean of 8 days and a standard deviation of 3 days. Calculate:

1. What is the probability that a patient will remain in the hospital between ten and twelve days?
2. What proportion of patients spend between five and eight days in the hospital?
3. P (0.33 < Z < 1.67 )=
4. What is the probability that patients spend less than 11 days in the hospital?