بسم الله الرحمن الرحيم ..
أخواني عندي بعض المسائل وماعرفت أحلهاا على برنامج المات لاب ,,
ياليت توضحون لي كيف طريقة حلها .؟ ومششكورين وجزآكم الله ألف خير
(1) A company owns 300 laptops. Each laptop has an 10% probability of not working. You randomly select 20 laptops for your salespeople.
a) What is the likelihood that 10 will be broken?
b) What is the likelihood that they will all work?
(c) What is the likelihood that they will all be broken?
(2) A study indicates that 10% of American teenagers have tattoos. You randomly sample 30 teenagers. What is the likelihood that exactly n will have a tattoo?
هذي على الـ binomial distibution
السؤال الثاني .. على normal probability distribution
Pressure gauges manufactured by Precision Corp. must be checked for accuracy before being placed on the market. To test a pressure gauge, a worker uses it to measure the pressure of a sample of compressed air known to be at a pressure of exactly 200 pounds per square inch. If the gauge reading is off by more than 0.0275% ((11/4)/100))*200, the guage is rejected. Assuming that the reading of a pressure gauge under these circumstances is a normal random variable with mean 200 and standard deviation 5.5, find the percentage of gauges rejected.
الســؤال الثالث : على Expoonentiial density function
Plutonium 239 decays continuously at a rate of 0.00284% per year. If X is the time a randomly chosen plutonium atom will decay, write down the associated probability density function, and use it to compute the probability that a plutonium atom will decay between 100 and 1100 years from now.
السؤال الرابع : على poisson distrbution
The number of traffic accidents that occurs on a particular stretch of road during a month follows a Poisson distribution with a mean of 20. Find the probability that less than 11 accidents will occur on this stretch of road during a randomly selected month.
السؤال الخامس : على poisson distrbution
A small life insurance company has determined that on the average it receives 20 death claims per day. Find the probability that the company receives at least 11 death claims on a randomly selected day.
الاسئله هذي في مادة الاحصاء , انا عرفت أحلهاا يدويا على حسب المعادلات لكـن مـآعرفت أحلهاا على البرنـآمج ,,
أتمنى منكم المسسـآعده في حلهاا وششكررآآآ