4. Suatu populasi dibagi menjadi dua kelas pengemudi. Banyaknya kecelakaan tiap individu berdistribusi poisson untuk semua pengemudi. Dari seorang supir yang diambil secara acak dari kelas I, harapan banyaknya kecelakaan berdistribusi uniform pada \( (0,2 ; 1) \). Dari seorang supir yang diambil dari kelas II, harapan banyaknya kecelakaan berdistribusi uniform pada \( (0,4 ; 2) \). Tentukan probabilitas tidak ada kecelakaan jika diambil secara acak seorang supir dari keseluruhan populasi!

Passengers arrived randomly at the ABC bus station at a rate of FOUR (4) passengers per hour. Let X be the number of passengers arrived at the \( A B C \) bus station. i. Identify the type of probability distribution of \( X \). (1 mark) ii. Find the probability that at most TEN (10) passengers arrived at the ABC bus station during any 60 minutes period of time. Interpret the value. (3 marks) T iii. What is the chances (in percentage) that exactly SEVEN (7) passengers arrived at the ABC bus station during any 90 minutes period of time? (3 marks) \( \qquad \) \( \square \) \( \qquad \) \( \qquad \) \( \qquad \)

Explain why choosing two socks from a drawer containing blue, red, and green socks is an example of dependent events.

"Aynı koşullar ve varsayımlar altında meydana gelen, özellikleri aynı sonuçların (ölçüm değerlerinin) yanında farklı sonuçları da alabilen olaylara .......... denir." cümlesinde noktalı yere aşağıdakilerden hangisi gelir? \begin{tabular}{|l|l}\hline A & Yığın olay \\ \hline C & Rassal olay \\ \hline D & Benzer olay \\ \hline E & Şansa bağlı olay \\ \hline\end{tabular}

Let \( X \) and \( Y \) be discrete random variables with joint probability den function \( f(x, y)=\left\{\begin{array}{ll}\frac{1}{21}(x+y) & x=1.2 .3 \\ 0 & y=1.2 \\ 0 & o \cdot w\end{array}\right. \) 1- The conditional density of X given Y 2- What is the conditional mean of X given \( \mathrm{Y}=\mathrm{y} \)

b) Passengers arrived randomly at the ABC bus station at a rate of FOUR (4) passengers per hour. Let X be the number of passengers arrived at the ABC bus station. i. Identify the type of probability distribution of \( X \).