Durante un periodo especifico, \( 80 \% \) de las emisiones de acciones comunes en un industrias que comprende solo 10 empresas han incrementado su valor mercado. Si un inversionista escoge dos de estas emisiones en forma aleator ¿Cuál es la probabilidad de que ambas hayan incrementado su valor de marca durante ese periodo?(sin reposición)

The PMF of a random varlable \( X \) taking value in \( N \cup\{0\} \) is given by \( P_{I}(i)=e^{-\lambda} \frac{\lambda^{i}}{n}, i=0,1,2, \ldots \) where \( \lambda \) is a positive real number. Given that \( \lambda=2 \), find \( P(X=0) \) \( P(X>2) \)

Dr Faridon Amdjadi, Mechanical Engineerin Find the probability \( P(-1.15<z<0.09) \) using the standard normal distribution. Select the correct answer. 0.5894

The probability distribution of the discrete random variable \( X \) is \( f(x)=\left(\frac{3}{2}\right)\left(\frac{1}{4}\right)^{x}\left(\frac{3}{4}\right)^{3=x} \) Find the mean of \( X \) (Hint: Give your answerin 2 decimal points).

There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting either a white or brown button?

One card is selected at random from a deck of cards. Determine the probability of selecting a card that is less than 8 or a heart. Note that the ace is considered a low card. The probability that the card selected is less than 8 or a heart is (Type an integer or a simplified fraction.)