Finding probabilities .com



Normal distribution layout practiceFinding probabilitiesThe heights of adult females are normally distributed with mean 160cm and standard deviation of 8cm.Find the probability that a randomly selected adult female is taller than 170cm.μ=σ=p(x )The length of time, L hours, that a phone will last on standby before it needs charging is normally distributed with a mean of 100 hours and a standard deviation of 15 hours.Find the probability that the length of time a phone on standby lasts is less than 90 hours.μ=σ=p(L )A manufacturer fills jars with coffee. The weight of coffee, W grams, in a jar can be modelled by a normal distribution with mean 232 gram and standard deviation 5 grams.What percentage of jars will weigh between 230g and 240g?Past records show that the times, in seconds, taken to run 100m by children can be modelled by a normal distribution with mean of 16.12 s and a standard deviation of 1.6 sA student qualifies for the next round if they run 100m in less than 14.5 seconds.What percentage of students will qualify for the next round? ‘In reverse’The heights of adult females are normally distributed with mean 160cm and standard deviation of 8cm.What is the cut off height for an adult female to be in the top 10% of heights?μ=σ=The length of time, L hours, that a phone will last on standby before it needs charging is normally distributed with a mean of 100 hours and a standard deviation of 15 hours.What length of time would you expect 95% of the phones to last for?μ=σ=A manufacturer fills jars with coffee. The weight of coffee, W grams, in a jar can be modelled by a normal distribution with mean 232 gram and standard deviation 5 grams.99% of jars will contain at least w grams. What is the value of w?Past records show that the times, in seconds, taken to run 100m by children can be modelled by a normal distribution with mean of 16.12 s and a standard deviation of 1.6 sThe fastest 30% of students will receive a certificate.What is the slowest time that will get a certificate? ................
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