Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The coin is fair, hence p = 0.5.
- The coin is tossed 10 times, hence n = 10.
The probability that is lands tails up at least nine times is given by:
In which:
Hence:
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
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Answer:
Step-by-step explanation:
Activity 3
Q1) consistent, independent
Q2) inconsistent
Q3) consistent, dependent
Q4) consistent, independent
The probability of rolling an odd number is 9/19.
According to the statement
Total number of possible outcomes = 38
Odd numbered of outcomes = 18
Now we find the probability
Probability = possible outcomes / total outcomes
Probability = 18/38
Probability = 9/19
So, The probability of rolling an odd number is 9/19.
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Answer:
a=14
Step-by-step explanation:
-a+28=14
So -a=-14
so a=14
<span>Yes, the equation can be solved by factoring. Using the given equation, take the square root of both sides. Both 169 and 9 are perfect squares, so the left side becomes plus or minus 13/3, which is rational. Six plus 13/3 is a rational number, and 6 minus 13/3 is also a rational number. If the solutions of a quadratic equation are rational, then the equation is factorable. </span>
