A sample of 135 is drawn from a population with a proportion equal to 0.55. Complete parts a) through c) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a) Determine the probability of observing 70 or fewer successes. P(Observing 70 or fewer successes) = 0.2311 (Round to four decimal places as needed.) b) Determine the probability of observing 76 or fewer successes. P(Observing 76 or fewer successes) = (Round to four decimal places as needed.) c) Determine the probability of observing 66 or more successes.

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**Statistical Analysis Using Normal Distribution**

**A sample of 135 is drawn from a population with a proportion equal to 0.55. Complete parts a) through c) below.**

- [Click here to view page 1 of the cumulative standardized normal distribution table.](#)
- [Click here to view page 2 of the cumulative standardized normal distribution table.](#)

---

**a) Determine the probability of observing 70 or fewer successes.**

\[ P(\text{Observing 70 or fewer successes}) = 0.2311 \]

*(Round to four decimal places as needed.)*

---

**b) Determine the probability of observing 76 or fewer successes.**

\[ P(\text{Observing 76 or fewer successes}) = \_\_\_\_ \]

*(Round to four decimal places as needed.)*

---

**c) Determine the probability of observing 66 or more successes.**

*(Continue with the calculation in the same manner, ensuring use of cumulative standardized normal distribution tables as necessary.)*

---

**Explanation of Diagrams or Graphs:**

There are no graphs or diagrams included in this section. For visual representation, refer to the cumulative standardized normal distribution tables linked above to understand how probabilities are derived through standard normal distribution curves.
Transcribed Image Text:**Statistical Analysis Using Normal Distribution** **A sample of 135 is drawn from a population with a proportion equal to 0.55. Complete parts a) through c) below.** - [Click here to view page 1 of the cumulative standardized normal distribution table.](#) - [Click here to view page 2 of the cumulative standardized normal distribution table.](#) --- **a) Determine the probability of observing 70 or fewer successes.** \[ P(\text{Observing 70 or fewer successes}) = 0.2311 \] *(Round to four decimal places as needed.)* --- **b) Determine the probability of observing 76 or fewer successes.** \[ P(\text{Observing 76 or fewer successes}) = \_\_\_\_ \] *(Round to four decimal places as needed.)* --- **c) Determine the probability of observing 66 or more successes.** *(Continue with the calculation in the same manner, ensuring use of cumulative standardized normal distribution tables as necessary.)* --- **Explanation of Diagrams or Graphs:** There are no graphs or diagrams included in this section. For visual representation, refer to the cumulative standardized normal distribution tables linked above to understand how probabilities are derived through standard normal distribution curves.
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