Abinomial probability experiment is conducted with the given parameters. use technology to find the probability of x successes in the n independent trials of the experiment. use the tech button for further assistance. nequals 9, pequals 0.3, xless than 4

We use the binomial distribution:
P(x out of n) = (nCx) (p)^x (1-p)^(n-x)
In this case, n = 9, p = 0.3, 1 - p = 0.7, and x = 0,1,2,3,4. We then add all the probabilities up. This can be done with a summation on a scientific calculator, or with software like Excel for instance.
See the attached photo for an example, with the formula shown on the formula bar.
If you need the total probability of x <= 4, the final answer of 0.9012 is shown in Cell D8, which is the sum of Cells D2 to D6.

the probability of successes in the independent trials of the experiment is .

By using an online calculator, binomial probabilty is calculated for different values of and figures are attached.

Now, the probability of successes in the independent trials of the experiment is calculated as

Hence, the probability of successes in the independent trials of the experiment is .

Learn more about Binomial probability here:

link

a - base

b - exponent

so,

the base is 8the exponent is 3the exponent tells you to multiply 8 together three timesthe expanded form is 8*8*8