Probability Distribution for Discrete and Continious Random Variables Probability Distribution for Discrete

Probability Distribution for Discrete and Continious Random Variables

Probability Distribution for Discrete

• X – the number of heads observed

• X - kuzatilgan boshlar soni

Probability Distribution for Discrete and Continious Random Variables

• Diskret tasodifiy o'zgaruvchining ehtimollik taqsimoti tasodifiy o'zgaruvchi qabul qilishi mumkin bo'lgan har bir mumkin bo'lgan qiymat bilan bog'liq bo'lgan ehtimollikni belgilaydigan grafik, jadval yoki formuladir.

Expected Values of Discrete Random Variables

The Binomial Random Variable

The Poisson Random Variable (Optional)

• A type of probability distribution that is often useful in describing the number of rare events that will occur during a specific period or in a specific area or volume is the Poisson distribution

• Muayyan davrda yoki ma'lum bir hududda yoki hajmda sodir bo'ladigan nodir hodisalar sonini tavsiflashda ko'pincha foydali bo'lgan ehtimollik taqsimoti bu Puasson taqsimotidir.

The Poisson Random Variable (Optional)

• 1. The number of traffic accidents per month at a busy intersection
• 2. The number of noticeable surface defects (scratches, dents, etc.) found by quality inspectors on a new automobile
• 3. The number of parts per million (ppm) of some toxin found in the water or air emissions from a manufacturing plant
• 4. The number of diseased trees per acre of a certain woodland
• 5. The number of death claims received per day by an insurance company
• 6. The number of unscheduled admissions per day to a hospital

• 1. Har oyda gavjum chorrahadagi YTHlar soni
• 2. Yangi avtomobilda sifat inspektorlari tomonidan aniqlangan sezilarli sirt nuqsonlari (chizishlar, chuqurliklar va boshqalar) soni
• 3. Ishlab chiqarish zavodining suv yoki havo chiqindilarida topilgan ba'zi zaharli moddalarning milliondagi qismlari soni (ppm)
• 4. Ma'lum bir o'rmonzorning gektariga kasallangan daraxtlar soni
• 5. Sug'urta kompaniyasi tomonidan kuniga kelib tushgan o'lim da'volari soni
• 6. Kasalxonaga kuniga rejadan tashqari yotqizilganlar soni

The Hypergeometric Random Variable (Optional)

Probability Distribution for Continious Random Variables

The Uniform Distribution

The Uniform Distribution

The Normal Distribution

Checking for normality

The Exponential Distribution (Optional)