compute the probability that it finds three or more broken gizmos (out of the 100 tested).

A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key pad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?

When LeBron James shoots a free throw, he hits with a probability of 0.9 and misses with a probability of 0.1. Assume that the result of his previous free throw (whether a hit or a miss), does not affect the probability with which he hits the current throw, i.e., for any free throw he shoots, he hits with a probability of 0.9 and misses with a probability of 0.1. When he hits a free throw, he makes one point and when he misses a free throw, he makes zero points. Answer the following questions with this information. Let P1 denote a random variable that represents the number of points LeBron James makes when he shoots only one free throw. 1. How many possible values can P1 take? Develop a probability distribution for P1 (Very important: Enter the values of P1 in increasing order as you go down in the table) P1 f(P1) (1 decimal) (1 decimal)

A dominantly inherited genetic disease is identified over several generations of a large family. However, about half the families have dominant disease with complete pen-etrance, whereby if a parent is affected there is a 50% probability that any one offspring will be affected. Similarly, about half the families have dominant disease with reducedpenetrance, whereby if a parent is affected there is a 25% probability that any one offspring will be affected. Suppose in a particular family one parent and two of the twooffspring are affected. What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with complete penetrance? What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with complete penetrance? What is the probability that exactly two of the two offspring will be affected in a family with dominant disease with reduced penetrance? What is the probability that the mode of…

a bookstore owner examines 6 books from each lot of 20 to check for missing pages.If he finds at least 3 books with missing pages, the entire lot is returned Mean- Probability

Visitors to your website are asked to answer a single “yes or no” survey question before they get access to the content on the page. Among all of the visitors to this page, there are two categories: Random Clicker (RC) and Truthful Clicker (TC). There are two possible answers to the survey: yes and no. Random clickers would click either one with equal probability. You are also given the information that the overall fraction of random clickers is 0.3. After a trial period, you get the following survey results: 65% said Yes and 35% said No. What is your estimate for P(yes | TC), the probability that someone answers “yes” to the survey question, given that they were a truthful clicker? Hint: use the rule of total probability

According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year.  Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other.  The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year is

Suppose that, on average, 4 persons in 1000 makes a numerical error in preparing his or her income tax return. If 10,000 returns are selected at random and examined, find the probability that 6, 7, or 8 of them contain an error

A recent report revealed that 93% of Gmail accounts do not use two-factor authentication (2FA). 10 Gmail accounts are selected at random. Given that less than two Gmail accounts use 2FA, what is the probability that none of the Gmail account uses 2FA?

The hospital records show that 75% of patients suffered from COVID-19 dies. What is the probability that 4 out of 6 randomly selected patients will recover?