Computing probability and percentile using z-table

The scores in a mathematics exam are normally distributed with a mean of 70 and a standard deviation of 8.
What is the probability that a randomly selected student scored more than 80?

The heights of Grade 11 students are normally distributed with a mean of 165 cm and a standard deviation of 6 cm.
What is the probability that a randomly chosen student is between 160 cm and 170 cm tall?

The time it takes for a delivery service to complete an order is normally distributed with a mean of 45 minutes and a standard deviation of 5 minutes.
What is the probability that an order takes less than 40 minutes?

The scores of an entrance examination are normally distributed with a mean of 75 and a standard deviation of 5.
A student scored 82.
What percentile rank does this score represent?

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
What percentile corresponds to an IQ score of 115?

The reaction time of drivers is normally distributed with a mean of 0.75 seconds and a standard deviation of 0.10 seconds.
one driver's reaction time is 0.65 what is his percentile?

The weights of packages are normally distributed with a mean of 5 kg and a standard deviation of 0.4 kg.
A package weighs 4.6 kg.
Determine the percentile rank of this package.

The monthly salaries of employees in a company are normally distributed with a mean of $25,000 and a standard deviation of $4,000.
What salary corresponds to the 90th percentile?

The time required to finish a standardized test is normally distributed with a mean of 90 minutes and a standard deviation of 10 minutes.
What is the probability that a student finishes the test in more than 105 minutes?

A store’s daily sales (in thousands of pesos) follow a normal distribution with a mean of $50,000 and a standard deviation of $7,000.
What is the probability that the store earns between $45,000 and $60,000 in a day?